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What is the Least Common Multiple of 94909 and 94920?

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 94909 and 94920 is 9008762280.

LCM(94909,94920) = 9008762280

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Least Common Multiple of 94909 and 94920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94909 and 94920, than apply into the LCM equation.

GCF(94909,94920) = 1
LCM(94909,94920) = ( 94909 × 94920) / 1
LCM(94909,94920) = 9008762280 / 1
LCM(94909,94920) = 9008762280

Least Common Multiple (LCM) of 94909 and 94920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94909 and 94920. First we will calculate the prime factors of 94909 and 94920.

Prime Factorization of 94909

Prime factors of 94909 are 107, 887. Prime factorization of 94909 in exponential form is:

94909 = 1071 × 8871

Prime Factorization of 94920

Prime factors of 94920 are 2, 3, 5, 7, 113. Prime factorization of 94920 in exponential form is:

94920 = 23 × 31 × 51 × 71 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 94909 and 94920.

LCM(94909,94920) = 1071 × 8871 × 23 × 31 × 51 × 71 × 1131
LCM(94909,94920) = 9008762280