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What is the Least Common Multiple of 94705 and 94716?

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 94705 and 94716 is 8970078780.

LCM(94705,94716) = 8970078780

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Least Common Multiple of 94705 and 94716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94705 and 94716, than apply into the LCM equation.

GCF(94705,94716) = 1
LCM(94705,94716) = ( 94705 × 94716) / 1
LCM(94705,94716) = 8970078780 / 1
LCM(94705,94716) = 8970078780

Least Common Multiple (LCM) of 94705 and 94716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94705 and 94716. First we will calculate the prime factors of 94705 and 94716.

Prime Factorization of 94705

Prime factors of 94705 are 5, 13, 31, 47. Prime factorization of 94705 in exponential form is:

94705 = 51 × 131 × 311 × 471

Prime Factorization of 94716

Prime factors of 94716 are 2, 3, 877. Prime factorization of 94716 in exponential form is:

94716 = 22 × 33 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 94705 and 94716.

LCM(94705,94716) = 51 × 131 × 311 × 471 × 22 × 33 × 8771
LCM(94705,94716) = 8970078780