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What is the Least Common Multiple of 64467 and 64486?

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 64467 and 64486 is 218800998.

LCM(64467,64486) = 218800998

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Least Common Multiple of 64467 and 64486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64467 and 64486, than apply into the LCM equation.

GCF(64467,64486) = 19
LCM(64467,64486) = ( 64467 × 64486) / 19
LCM(64467,64486) = 4157218962 / 19
LCM(64467,64486) = 218800998

Least Common Multiple (LCM) of 64467 and 64486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64467 and 64486. First we will calculate the prime factors of 64467 and 64486.

Prime Factorization of 64467

Prime factors of 64467 are 3, 13, 19, 29. Prime factorization of 64467 in exponential form is:

64467 = 32 × 131 × 191 × 291

Prime Factorization of 64486

Prime factors of 64486 are 2, 19, 1697. Prime factorization of 64486 in exponential form is:

64486 = 21 × 191 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 64467 and 64486.

LCM(64467,64486) = 32 × 131 × 191 × 291 × 21 × 16971
LCM(64467,64486) = 218800998