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What is the Least Common Multiple of 64178 and 64194?

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 64178 and 64194 is 2059921266.

LCM(64178,64194) = 2059921266

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Least Common Multiple of 64178 and 64194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64178 and 64194, than apply into the LCM equation.

GCF(64178,64194) = 2
LCM(64178,64194) = ( 64178 × 64194) / 2
LCM(64178,64194) = 4119842532 / 2
LCM(64178,64194) = 2059921266

Least Common Multiple (LCM) of 64178 and 64194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64178 and 64194. First we will calculate the prime factors of 64178 and 64194.

Prime Factorization of 64178

Prime factors of 64178 are 2, 32089. Prime factorization of 64178 in exponential form is:

64178 = 21 × 320891

Prime Factorization of 64194

Prime factors of 64194 are 2, 3, 13, 823. Prime factorization of 64194 in exponential form is:

64194 = 21 × 31 × 131 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 64178 and 64194.

LCM(64178,64194) = 21 × 320891 × 31 × 131 × 8231
LCM(64178,64194) = 2059921266