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LCM for 120 and 324

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 120 and 324?

Answer

LCM of 120 and 324 is 3,240

(Three thousand, two hundred forty)

Finding LCM for 120 and 324 using GCF of these numbers

The first method to find LCM for numbers 120 and 324 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 324 is 12, so

LCM = (120 × 324) ÷ 12

LCM = 38880 ÷ 12

LCM = 3240

Finding LCM for 120 and 324 by Listing Multiples

The second method to find LCM for numbers 120 and 324 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200, 1320, 1440, 1560, 1680, 1800, 1920, 2040, 2160, 2280, 2400, 2520, 2640, 2760, 2880, 3000, 3120, 3240, 3360, 3480

Multiples of 324: 324, 648, 972, 1296, 1620, 1944, 2268, 2592, 2916, 3240, 3564, 3888

So the LCM for 120 and 324 is 3240

Finding LCM for 120 and 324 by Prime Factorization

Another method to find LCM for numbers 120 and 324 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

All Prime Factors of 324: 2, 2, 3, 3, 3, 3 (exponent form: 22, 34)

23 × 34 × 51 = 3240

See Also

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What is the LCM of 120 and 324?. The LCM of 120 and 324 is 3240 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
12030912360
1203103720
12031137320
1203121560
12031337560
12031418840
1203152520
1203169480
12031738040
1203186360
12031938280
120320960
12032112840
12032219320
12032338760
1203243240
1203257800
12032619560
12032713080
1203284920
12032939480
1203301320
12033139720
1203329960
12033313320
12033420040
1203358040
1203361680
12033740440
12033820280

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 120 and 324? (The answer is: 3240). Select the first number (e.g. '120') and the second number (e.g. '324'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 120 and 324?

LCM of 120 and 324 is 3,240

How to find the LCM of 120 and 324 using prime factorization?

To find the LCM of 120 and 324, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,240.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 120 and 324: LCM = 3,240, GCF = 12.

See Also