LCM for 58 and 60

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What's the Least Common Multiple (LCM) of 58 and 60?

Answer

LCM of 58 and 60 is
1,740

First common multiples: 1,740; 3,480; 5,220; …

1,740 is divisible by both: 1,740 ÷ 58 = 30; 1,740 ÷ 60 = 29 — and 30 and 29 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/58 by 30 and of y/60 by 29.

58 = 2 × 29

60 = 22 × 3 × 5

Prime5860Highest power
222222
3—33
5—55
2929—29

— = 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 × 29 = 1,740

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LCM Table

Number 1Number 2LCM
58452,610
58461,334
58472,726
58481,392
58492,842
58501,450
58512,958
58521,508
58533,074
58541,566
58553,190
58561,624
58573,306
585858
58593,422
58601,740
58613,538
58621,798
58633,654
58641,856
58653,770
58661,914
58673,886
58681,972
58694,002
58702,030
58714,118
58722,088
58734,234
58742,146

FAQ

What's the Least Common Multiple (LCM) of 58 and 60?

LCM of 58 and 60 is 1,740

How to find the LCM of 58 and 60 using prime factorization?

To find the LCM of 58 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,740.

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 58 and 60: LCM = 1,740, GCF = 2.

See Also