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What is the Least Common Multiple of 94442 and 94455?

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 94442 and 94455 is 8920519110.

LCM(94442,94455) = 8920519110

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Least Common Multiple of 94442 and 94455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94442 and 94455, than apply into the LCM equation.

GCF(94442,94455) = 1
LCM(94442,94455) = ( 94442 × 94455) / 1
LCM(94442,94455) = 8920519110 / 1
LCM(94442,94455) = 8920519110

Least Common Multiple (LCM) of 94442 and 94455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94442 and 94455. First we will calculate the prime factors of 94442 and 94455.

Prime Factorization of 94442

Prime factors of 94442 are 2, 47221. Prime factorization of 94442 in exponential form is:

94442 = 21 × 472211

Prime Factorization of 94455

Prime factors of 94455 are 3, 5, 2099. Prime factorization of 94455 in exponential form is:

94455 = 32 × 51 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 94442 and 94455.

LCM(94442,94455) = 21 × 472211 × 32 × 51 × 20991
LCM(94442,94455) = 8920519110