LCM for 5 and 45

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What's the Least Common Multiple (LCM) of 5 and 45?

Answer

LCM of 5 and 45 is
45

First common multiples: 45, 90, 135, …

As a common denominator: multiply the top and bottom of x/5 by 9.

5 divides 45 (45 ÷ 5 = 9), so the LCM is the larger number itself.

5 — prime

45 = 32 × 5

Prime545Highest power
3—3232
5555

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

LCM = 32 × 5 = 45

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LCM Table

Number 1Number 2LCM
521105
522110
524120
52525
526130
527135
53030
531155
532160
53535
539195
54040
542210
543215
544220
54545
546230
548240
55050
551255
55555
558290
559295
56060
56565
57070
57575
58080
59090
5100100

FAQ

What's the Least Common Multiple (LCM) of 5 and 45?

LCM of 5 and 45 is 45

How to find the LCM of 5 and 45 using prime factorization?

To find the LCM of 5 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 45.

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 5 and 45: LCM = 45, GCF = 5.

See Also