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What is the Least Common Multiple of 94108 and 94117?

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 94108 and 94117 is 8857162636.

LCM(94108,94117) = 8857162636

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Least Common Multiple of 94108 and 94117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94108 and 94117, than apply into the LCM equation.

GCF(94108,94117) = 1
LCM(94108,94117) = ( 94108 × 94117) / 1
LCM(94108,94117) = 8857162636 / 1
LCM(94108,94117) = 8857162636

Least Common Multiple (LCM) of 94108 and 94117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94108 and 94117. First we will calculate the prime factors of 94108 and 94117.

Prime Factorization of 94108

Prime factors of 94108 are 2, 7, 3361. Prime factorization of 94108 in exponential form is:

94108 = 22 × 71 × 33611

Prime Factorization of 94117

Prime factors of 94117 are 94117. Prime factorization of 94117 in exponential form is:

94117 = 941171

Now multiplying the highest exponent prime factors to calculate the LCM of 94108 and 94117.

LCM(94108,94117) = 22 × 71 × 33611 × 941171
LCM(94108,94117) = 8857162636