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What is the Least Common Multiple of 94108 and 94128?

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 94128 is 2214549456.

LCM(94108,94128) = 2214549456

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Least Common Multiple of 94108 and 94128 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 94128, than apply into the LCM equation.

GCF(94108,94128) = 4
LCM(94108,94128) = ( 94108 × 94128) / 4
LCM(94108,94128) = 8858197824 / 4
LCM(94108,94128) = 2214549456

Least Common Multiple (LCM) of 94108 and 94128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94108 and 94128. First we will calculate the prime factors of 94108 and 94128.

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 94128

Prime factors of 94128 are 2, 3, 37, 53. Prime factorization of 94128 in exponential form is:

94128 = 24 × 31 × 371 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 94108 and 94128.

LCM(94108,94128) = 24 × 71 × 33611 × 31 × 371 × 531
LCM(94108,94128) = 2214549456