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What is the Least Common Multiple of 66094 and 66108?

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 66094 and 66108 is 312095868.

LCM(66094,66108) = 312095868

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Least Common Multiple of 66094 and 66108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66094 and 66108, than apply into the LCM equation.

GCF(66094,66108) = 14
LCM(66094,66108) = ( 66094 × 66108) / 14
LCM(66094,66108) = 4369342152 / 14
LCM(66094,66108) = 312095868

Least Common Multiple (LCM) of 66094 and 66108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66094 and 66108. First we will calculate the prime factors of 66094 and 66108.

Prime Factorization of 66094

Prime factors of 66094 are 2, 7, 4721. Prime factorization of 66094 in exponential form is:

66094 = 21 × 71 × 47211

Prime Factorization of 66108

Prime factors of 66108 are 2, 3, 7, 787. Prime factorization of 66108 in exponential form is:

66108 = 22 × 31 × 71 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 66094 and 66108.

LCM(66094,66108) = 22 × 71 × 47211 × 31 × 7871
LCM(66094,66108) = 312095868