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What is the Least Common Multiple of 45718 and 45732?

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 45718 and 45732 is 1045387788.

LCM(45718,45732) = 1045387788

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Least Common Multiple of 45718 and 45732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45718 and 45732, than apply into the LCM equation.

GCF(45718,45732) = 2
LCM(45718,45732) = ( 45718 × 45732) / 2
LCM(45718,45732) = 2090775576 / 2
LCM(45718,45732) = 1045387788

Least Common Multiple (LCM) of 45718 and 45732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45718 and 45732. First we will calculate the prime factors of 45718 and 45732.

Prime Factorization of 45718

Prime factors of 45718 are 2, 22859. Prime factorization of 45718 in exponential form is:

45718 = 21 × 228591

Prime Factorization of 45732

Prime factors of 45732 are 2, 3, 37, 103. Prime factorization of 45732 in exponential form is:

45732 = 22 × 31 × 371 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 45718 and 45732.

LCM(45718,45732) = 22 × 228591 × 31 × 371 × 1031
LCM(45718,45732) = 1045387788