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What is the Least Common Multiple of 94208 and 94215?

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 94208 and 94215 is 8875806720.

LCM(94208,94215) = 8875806720

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Least Common Multiple of 94208 and 94215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94208 and 94215, than apply into the LCM equation.

GCF(94208,94215) = 1
LCM(94208,94215) = ( 94208 × 94215) / 1
LCM(94208,94215) = 8875806720 / 1
LCM(94208,94215) = 8875806720

Least Common Multiple (LCM) of 94208 and 94215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94208 and 94215. First we will calculate the prime factors of 94208 and 94215.

Prime Factorization of 94208

Prime factors of 94208 are 2, 23. Prime factorization of 94208 in exponential form is:

94208 = 212 × 231

Prime Factorization of 94215

Prime factors of 94215 are 3, 5, 11, 571. Prime factorization of 94215 in exponential form is:

94215 = 31 × 51 × 111 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 94208 and 94215.

LCM(94208,94215) = 212 × 231 × 31 × 51 × 111 × 5711
LCM(94208,94215) = 8875806720