LCM for 7 and 45

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What's the Least Common Multiple (LCM) of 7 and 45?

Answer

LCM of 7 and 45 is
315

First common multiples: 315, 630, 945, …

315 is divisible by both: 315 ÷ 7 = 45, 315 ÷ 45 = 7 — and 45 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/7 by 45 and of y/45 by 7.

7 and 45 are coprime (GCF = 1), so their LCM is simply the product: 7 × 45 = 315.

7 — prime

45 = 32 × 5

Prime745Highest power
3—3232
5—55
77—7

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

LCM = 32 × 5 × 7 = 315

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LCM Table

Number 1Number 2LCM
717119
718126
719133
720140
72121
722154
724168
725175
726182
727189
72828
730210
731217
734238
73535
739273
741287
743301
744308
745315
747329
748336
74949
750350
751357
755385
760420
76363
7100700
7105105

FAQ

What's the Least Common Multiple (LCM) of 7 and 45?

LCM of 7 and 45 is 315

How to find the LCM of 7 and 45 using prime factorization?

To find the LCM of 7 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 315.

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 7 and 45: LCM = 315, GCF = 1.

See Also