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What is the Least Common Multiple of 94367 and 94376?

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 94367 and 94376 is 8905979992.

LCM(94367,94376) = 8905979992

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Least Common Multiple of 94367 and 94376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94367 and 94376, than apply into the LCM equation.

GCF(94367,94376) = 1
LCM(94367,94376) = ( 94367 × 94376) / 1
LCM(94367,94376) = 8905979992 / 1
LCM(94367,94376) = 8905979992

Least Common Multiple (LCM) of 94367 and 94376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94367 and 94376. First we will calculate the prime factors of 94367 and 94376.

Prime Factorization of 94367

Prime factors of 94367 are 7, 13, 17, 61. Prime factorization of 94367 in exponential form is:

94367 = 71 × 131 × 171 × 611

Prime Factorization of 94376

Prime factors of 94376 are 2, 47, 251. Prime factorization of 94376 in exponential form is:

94376 = 23 × 471 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 94367 and 94376.

LCM(94367,94376) = 71 × 131 × 171 × 611 × 23 × 471 × 2511
LCM(94367,94376) = 8905979992