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What is the Least Common Multiple of 94911 and 94929?

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 94911 and 94929 is 3003268773.

LCM(94911,94929) = 3003268773

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Least Common Multiple of 94911 and 94929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94911 and 94929, than apply into the LCM equation.

GCF(94911,94929) = 3
LCM(94911,94929) = ( 94911 × 94929) / 3
LCM(94911,94929) = 9009806319 / 3
LCM(94911,94929) = 3003268773

Least Common Multiple (LCM) of 94911 and 94929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94911 and 94929. First we will calculate the prime factors of 94911 and 94929.

Prime Factorization of 94911

Prime factors of 94911 are 3, 17, 1861. Prime factorization of 94911 in exponential form is:

94911 = 31 × 171 × 18611

Prime Factorization of 94929

Prime factors of 94929 are 3, 31643. Prime factorization of 94929 in exponential form is:

94929 = 31 × 316431

Now multiplying the highest exponent prime factors to calculate the LCM of 94911 and 94929.

LCM(94911,94929) = 31 × 171 × 18611 × 316431
LCM(94911,94929) = 3003268773