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

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

LCM Table

Number 1Number 2LCM
10532411340
10632417172
10732434668
108324324
10932435316
11032417820
11132411988
1123249072
11332436612
1143246156
11532437260
1163249396
1173244212
11832419116
11932438556
1203243240
12132439204
12232419764
12332413284
12432410044
12532440500
1263242268
12732441148
12832410368
12932413932
13032421060
13132442444
1323243564
13332443092
13432421708

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