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What is the Least Common Multiple of 64936 and 64949?

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 64936 and 64949 is 4217528264.

LCM(64936,64949) = 4217528264

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Least Common Multiple of 64936 and 64949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64936 and 64949, than apply into the LCM equation.

GCF(64936,64949) = 1
LCM(64936,64949) = ( 64936 × 64949) / 1
LCM(64936,64949) = 4217528264 / 1
LCM(64936,64949) = 4217528264

Least Common Multiple (LCM) of 64936 and 64949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64936 and 64949. First we will calculate the prime factors of 64936 and 64949.

Prime Factorization of 64936

Prime factors of 64936 are 2, 8117. Prime factorization of 64936 in exponential form is:

64936 = 23 × 81171

Prime Factorization of 64949

Prime factors of 64949 are 107, 607. Prime factorization of 64949 in exponential form is:

64949 = 1071 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 64936 and 64949.

LCM(64936,64949) = 23 × 81171 × 1071 × 6071
LCM(64936,64949) = 4217528264