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What is the Least Common Multiple of 64098 and 64116?

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 64098 and 64116 is 228317076.

LCM(64098,64116) = 228317076

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Least Common Multiple of 64098 and 64116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64098 and 64116, than apply into the LCM equation.

GCF(64098,64116) = 18
LCM(64098,64116) = ( 64098 × 64116) / 18
LCM(64098,64116) = 4109707368 / 18
LCM(64098,64116) = 228317076

Least Common Multiple (LCM) of 64098 and 64116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64098 and 64116. First we will calculate the prime factors of 64098 and 64116.

Prime Factorization of 64098

Prime factors of 64098 are 2, 3, 1187. Prime factorization of 64098 in exponential form is:

64098 = 21 × 33 × 11871

Prime Factorization of 64116

Prime factors of 64116 are 2, 3, 13, 137. Prime factorization of 64116 in exponential form is:

64116 = 22 × 32 × 131 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 64098 and 64116.

LCM(64098,64116) = 22 × 33 × 11871 × 131 × 1371
LCM(64098,64116) = 228317076