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What is the Least Common Multiple of 45013 and 45024?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 45013 and 45024 is 2026665312.

LCM(45013,45024) = 2026665312

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Least Common Multiple of 45013 and 45024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45013 and 45024, than apply into the LCM equation.

GCF(45013,45024) = 1
LCM(45013,45024) = ( 45013 × 45024) / 1
LCM(45013,45024) = 2026665312 / 1
LCM(45013,45024) = 2026665312

Least Common Multiple (LCM) of 45013 and 45024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45013 and 45024. First we will calculate the prime factors of 45013 and 45024.

Prime Factorization of 45013

Prime factors of 45013 are 45013. Prime factorization of 45013 in exponential form is:

45013 = 450131

Prime Factorization of 45024

Prime factors of 45024 are 2, 3, 7, 67. Prime factorization of 45024 in exponential form is:

45024 = 25 × 31 × 71 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 45013 and 45024.

LCM(45013,45024) = 450131 × 25 × 31 × 71 × 671
LCM(45013,45024) = 2026665312