LCM for 35 and 60

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What's the Least Common Multiple (LCM) of 35 and 60?

Answer

LCM of 35 and 60 is
420

First common multiples: 420; 840; 1,260; …

420 is divisible by both: 420 ÷ 35 = 12, 420 ÷ 60 = 7 — and 12 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/35 by 12 and of y/60 by 7.

35 = 5 × 7

60 = 22 × 3 × 5

Prime3560Highest power
2—2222
3—33
5555
77—7

— = 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 × 7 = 420

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LCM Table

Number 1Number 2LCM
351470
35361,260
35371,295
35381,330
3540280
3542210
35431,505
3545315
35471,645
3549245
3550350
35521,820
35531,855
3555385
3556280
35571,995
35592,065
3560420
3563315
3565455
357070
35722,520
3575525
3577385
3584420
35100700
35105105
351501,050

FAQ

What's the Least Common Multiple (LCM) of 35 and 60?

LCM of 35 and 60 is 420

How to find the LCM of 35 and 60 using prime factorization?

To find the LCM of 35 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

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 35 and 60: LCM = 420, GCF = 5.

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