LCM for 212 and 312

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What's the Least Common Multiple (LCM) of 212 and 312?

Answer

LCM of 212 and 312 is
16,536

First common multiples: 16,536; 33,072; 49,608; …

16,536 is divisible by both: 16,536 ÷ 212 = 78; 16,536 ÷ 312 = 53 — and 78 and 53 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/212 by 78 and of y/312 by 53.

212 = 22 × 53

312 = 23 × 3 × 13

Prime212312Highest power
2222323
3—33
13—1313
5353—53

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

LCM = 23 × 3 × 13 × 53 = 16,536

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
21229762,964
21229831,588
21229963,388
21230015,900
21230163,812
21230232,012
21230364,236
21230416,112
21230564,660
21230632,436
21230765,084
21230816,324
21230965,508
21231032,860
21231165,932
21231216,536
21231366,356
21231433,284
21231566,780
21231616,748
21231767,204
212318636
21231967,628
21232016,960
21232168,052
21232234,132
21232368,476
21232417,172
21232568,900
21232634,556

FAQ

What's the Least Common Multiple (LCM) of 212 and 312?

LCM of 212 and 312 is 16,536

How to find the LCM of 212 and 312 using prime factorization?

To find the LCM of 212 and 312, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 16,536.

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 212 and 312: LCM = 16,536, GCF = 4.

See Also