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What is the Least Common Multiple of 94908 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 94908 and 94920 is 750722280.

LCM(94908,94920) = 750722280

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Least Common Multiple of 94908 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 94908 and 94920, than apply into the LCM equation.

GCF(94908,94920) = 12
LCM(94908,94920) = ( 94908 × 94920) / 12
LCM(94908,94920) = 9008667360 / 12
LCM(94908,94920) = 750722280

Least Common Multiple (LCM) of 94908 and 94920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94908 and 94920. First we will calculate the prime factors of 94908 and 94920.

Prime Factorization of 94908

Prime factors of 94908 are 2, 3, 11, 719. Prime factorization of 94908 in exponential form is:

94908 = 22 × 31 × 111 × 7191

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 94908 and 94920.

LCM(94908,94920) = 23 × 31 × 111 × 7191 × 51 × 71 × 1131
LCM(94908,94920) = 750722280