LCM for 120 and 324

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

Answer

LCM of 120 and 324 is
3,240

First common multiples: 3,240; 6,480; 9,720; …

3,240 is divisible by both: 3,240 ÷ 120 = 27; 3,240 ÷ 324 = 10 — and 27 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/120 by 27 and of y/324 by 10.

120 = 23 × 3 × 5

324 = 22 × 34

Prime120324Highest power
2232223
333434
55—5

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 23 × 34 × 5 = 3,240

More with these numbers

See Also

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