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What is the Least Common Multiple of 64918 and 64923?

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 64918 and 64923 is 4214671314.

LCM(64918,64923) = 4214671314

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Least Common Multiple of 64918 and 64923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64918 and 64923, than apply into the LCM equation.

GCF(64918,64923) = 1
LCM(64918,64923) = ( 64918 × 64923) / 1
LCM(64918,64923) = 4214671314 / 1
LCM(64918,64923) = 4214671314

Least Common Multiple (LCM) of 64918 and 64923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64918 and 64923. First we will calculate the prime factors of 64918 and 64923.

Prime Factorization of 64918

Prime factors of 64918 are 2, 7, 4637. Prime factorization of 64918 in exponential form is:

64918 = 21 × 71 × 46371

Prime Factorization of 64923

Prime factors of 64923 are 3, 17, 19, 67. Prime factorization of 64923 in exponential form is:

64923 = 31 × 171 × 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 64918 and 64923.

LCM(64918,64923) = 21 × 71 × 46371 × 31 × 171 × 191 × 671
LCM(64918,64923) = 4214671314