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What is the Least Common Multiple of 64493 and 64504?

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 64493 and 64504 is 378186952.

LCM(64493,64504) = 378186952

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Least Common Multiple of 64493 and 64504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64493 and 64504, than apply into the LCM equation.

GCF(64493,64504) = 11
LCM(64493,64504) = ( 64493 × 64504) / 11
LCM(64493,64504) = 4160056472 / 11
LCM(64493,64504) = 378186952

Least Common Multiple (LCM) of 64493 and 64504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64493 and 64504. First we will calculate the prime factors of 64493 and 64504.

Prime Factorization of 64493

Prime factors of 64493 are 11, 13, 41. Prime factorization of 64493 in exponential form is:

64493 = 112 × 131 × 411

Prime Factorization of 64504

Prime factors of 64504 are 2, 11, 733. Prime factorization of 64504 in exponential form is:

64504 = 23 × 111 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 64493 and 64504.

LCM(64493,64504) = 112 × 131 × 411 × 23 × 7331
LCM(64493,64504) = 378186952