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What is the Least Common Multiple of 24047 and 24051?

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 24047 and 24051 is 578354397.

LCM(24047,24051) = 578354397

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Least Common Multiple of 24047 and 24051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24047 and 24051, than apply into the LCM equation.

GCF(24047,24051) = 1
LCM(24047,24051) = ( 24047 × 24051) / 1
LCM(24047,24051) = 578354397 / 1
LCM(24047,24051) = 578354397

Least Common Multiple (LCM) of 24047 and 24051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24047 and 24051. First we will calculate the prime factors of 24047 and 24051.

Prime Factorization of 24047

Prime factors of 24047 are 139, 173. Prime factorization of 24047 in exponential form is:

24047 = 1391 × 1731

Prime Factorization of 24051

Prime factors of 24051 are 3, 8017. Prime factorization of 24051 in exponential form is:

24051 = 31 × 80171

Now multiplying the highest exponent prime factors to calculate the LCM of 24047 and 24051.

LCM(24047,24051) = 1391 × 1731 × 31 × 80171
LCM(24047,24051) = 578354397