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What is the Least Common Multiple of 94747 and 94760?

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 94747 and 94760 is 8978225720.

LCM(94747,94760) = 8978225720

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Least Common Multiple of 94747 and 94760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94747 and 94760, than apply into the LCM equation.

GCF(94747,94760) = 1
LCM(94747,94760) = ( 94747 × 94760) / 1
LCM(94747,94760) = 8978225720 / 1
LCM(94747,94760) = 8978225720

Least Common Multiple (LCM) of 94747 and 94760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94747 and 94760. First we will calculate the prime factors of 94747 and 94760.

Prime Factorization of 94747

Prime factors of 94747 are 94747. Prime factorization of 94747 in exponential form is:

94747 = 947471

Prime Factorization of 94760

Prime factors of 94760 are 2, 5, 23, 103. Prime factorization of 94760 in exponential form is:

94760 = 23 × 51 × 231 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 94747 and 94760.

LCM(94747,94760) = 947471 × 23 × 51 × 231 × 1031
LCM(94747,94760) = 8978225720