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What is the Least Common Multiple of 94928 and 94947?

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 94928 and 94947 is 9013128816.

LCM(94928,94947) = 9013128816

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Least Common Multiple of 94928 and 94947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94928 and 94947, than apply into the LCM equation.

GCF(94928,94947) = 1
LCM(94928,94947) = ( 94928 × 94947) / 1
LCM(94928,94947) = 9013128816 / 1
LCM(94928,94947) = 9013128816

Least Common Multiple (LCM) of 94928 and 94947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94928 and 94947. First we will calculate the prime factors of 94928 and 94947.

Prime Factorization of 94928

Prime factors of 94928 are 2, 17, 349. Prime factorization of 94928 in exponential form is:

94928 = 24 × 171 × 3491

Prime Factorization of 94947

Prime factors of 94947 are 3, 31649. Prime factorization of 94947 in exponential form is:

94947 = 31 × 316491

Now multiplying the highest exponent prime factors to calculate the LCM of 94928 and 94947.

LCM(94928,94947) = 24 × 171 × 3491 × 31 × 316491
LCM(94928,94947) = 9013128816