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What is the Least Common Multiple of 94908 and 94924?

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 94924 is 2252261748.

LCM(94908,94924) = 2252261748

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Least Common Multiple of 94908 and 94924 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 94924, than apply into the LCM equation.

GCF(94908,94924) = 4
LCM(94908,94924) = ( 94908 × 94924) / 4
LCM(94908,94924) = 9009046992 / 4
LCM(94908,94924) = 2252261748

Least Common Multiple (LCM) of 94908 and 94924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94908 and 94924. First we will calculate the prime factors of 94908 and 94924.

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 94924

Prime factors of 94924 are 2, 19, 1249. Prime factorization of 94924 in exponential form is:

94924 = 22 × 191 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 94908 and 94924.

LCM(94908,94924) = 22 × 31 × 111 × 7191 × 191 × 12491
LCM(94908,94924) = 2252261748