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What is the Least Common Multiple of 64909 and 64928?

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 64909 and 64928 is 4214411552.

LCM(64909,64928) = 4214411552

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Least Common Multiple of 64909 and 64928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64909 and 64928, than apply into the LCM equation.

GCF(64909,64928) = 1
LCM(64909,64928) = ( 64909 × 64928) / 1
LCM(64909,64928) = 4214411552 / 1
LCM(64909,64928) = 4214411552

Least Common Multiple (LCM) of 64909 and 64928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64909 and 64928. First we will calculate the prime factors of 64909 and 64928.

Prime Factorization of 64909

Prime factors of 64909 are 13, 4993. Prime factorization of 64909 in exponential form is:

64909 = 131 × 49931

Prime Factorization of 64928

Prime factors of 64928 are 2, 2029. Prime factorization of 64928 in exponential form is:

64928 = 25 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 64909 and 64928.

LCM(64909,64928) = 131 × 49931 × 25 × 20291
LCM(64909,64928) = 4214411552