LCM for 43 and 60

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What's the Least Common Multiple (LCM) of 43 and 60?

Answer

LCM of 43 and 60 is
2,580

First common multiples: 2,580; 5,160; 7,740; …

2,580 is divisible by both: 2,580 ÷ 43 = 60; 2,580 ÷ 60 = 43 — and 60 and 43 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/43 by 60 and of y/60 by 43.

43 and 60 are coprime (GCF = 1), so their LCM is simply the product: 43 × 60 = 2,580.

43 — prime

60 = 22 × 3 × 5

Prime4360Highest power
2—2222
3—33
5—55
4343—43

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

LCM = 22 × 3 × 5 × 43 = 2,580

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LCM Table

Number 1Number 2LCM
43451,935
43461,978
43472,021
43482,064
43492,107
43502,150
43512,193
43522,236
43532,279
43542,322
43552,365
43562,408
43572,451
43582,494
43592,537
43602,580
43612,623
43622,666
43632,709
43642,752
43652,795
43662,838
43672,881
43682,924
43692,967
43703,010
43713,053
43723,096
43733,139
43743,182

FAQ

What's the Least Common Multiple (LCM) of 43 and 60?

LCM of 43 and 60 is 2,580

How to find the LCM of 43 and 60 using prime factorization?

To find the LCM of 43 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,580.

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 43 and 60: LCM = 2,580, GCF = 1.

See Also