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What is the Least Common Multiple of 64162 and 64176?

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 64162 and 64176 is 294118608.

LCM(64162,64176) = 294118608

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Least Common Multiple of 64162 and 64176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64162 and 64176, than apply into the LCM equation.

GCF(64162,64176) = 14
LCM(64162,64176) = ( 64162 × 64176) / 14
LCM(64162,64176) = 4117660512 / 14
LCM(64162,64176) = 294118608

Least Common Multiple (LCM) of 64162 and 64176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64162 and 64176. First we will calculate the prime factors of 64162 and 64176.

Prime Factorization of 64162

Prime factors of 64162 are 2, 7, 4583. Prime factorization of 64162 in exponential form is:

64162 = 21 × 71 × 45831

Prime Factorization of 64176

Prime factors of 64176 are 2, 3, 7, 191. Prime factorization of 64176 in exponential form is:

64176 = 24 × 31 × 71 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 64162 and 64176.

LCM(64162,64176) = 24 × 71 × 45831 × 31 × 1911
LCM(64162,64176) = 294118608