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What is the Least Common Multiple of 94976 and 94995?

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 94976 and 94995 is 9022245120.

LCM(94976,94995) = 9022245120

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Least Common Multiple of 94976 and 94995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94976 and 94995, than apply into the LCM equation.

GCF(94976,94995) = 1
LCM(94976,94995) = ( 94976 × 94995) / 1
LCM(94976,94995) = 9022245120 / 1
LCM(94976,94995) = 9022245120

Least Common Multiple (LCM) of 94976 and 94995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94976 and 94995. First we will calculate the prime factors of 94976 and 94995.

Prime Factorization of 94976

Prime factors of 94976 are 2, 7, 53. Prime factorization of 94976 in exponential form is:

94976 = 28 × 71 × 531

Prime Factorization of 94995

Prime factors of 94995 are 3, 5, 2111. Prime factorization of 94995 in exponential form is:

94995 = 32 × 51 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 94976 and 94995.

LCM(94976,94995) = 28 × 71 × 531 × 32 × 51 × 21111
LCM(94976,94995) = 9022245120