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What is the Least Common Multiple of 64903 and 64908?

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 64903 and 64908 is 4212723924.

LCM(64903,64908) = 4212723924

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Least Common Multiple of 64903 and 64908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64903 and 64908, than apply into the LCM equation.

GCF(64903,64908) = 1
LCM(64903,64908) = ( 64903 × 64908) / 1
LCM(64903,64908) = 4212723924 / 1
LCM(64903,64908) = 4212723924

Least Common Multiple (LCM) of 64903 and 64908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64903 and 64908. First we will calculate the prime factors of 64903 and 64908.

Prime Factorization of 64903

Prime factors of 64903 are 41, 1583. Prime factorization of 64903 in exponential form is:

64903 = 411 × 15831

Prime Factorization of 64908

Prime factors of 64908 are 2, 3, 601. Prime factorization of 64908 in exponential form is:

64908 = 22 × 33 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 64903 and 64908.

LCM(64903,64908) = 411 × 15831 × 22 × 33 × 6011
LCM(64903,64908) = 4212723924