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 = 38,880 ÷ 12

LCM = 3,240

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, 1,080, 1,200, 1,320, 1,440, 1,560, 1,680, 1,800, 1,920, 2,040, 2,160, 2,280, 2,400, 2,520, 2,640, 2,760, 2,880, 3,000, 3,120, 3,240, 3,360, 3,480

Multiples of 324: 324, 648, 972, 1,296, 1,620, 1,944, 2,268, 2,592, 2,916, 3,240, 3,564, 3,888

So the LCM for 120 and 324 is 3,240

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 = 3,240

See Also

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: 3,240). 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

LCM Table

Number 1Number 2LCM
12030912,360
1203103,720
12031137,320
1203121,560
12031337,560
12031418,840
1203152,520
1203169,480
12031738,040
1203186,360
12031938,280
120320960
12032112,840
12032219,320
12032338,760
1203243,240
1203257,800
12032619,560
12032713,080
1203284,920
12032939,480
1203301,320
12033139,720
1203329,960
12033313,320
12033420,040
1203358,040
1203361,680
12033740,440
12033820,280

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