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What is the Least Common Multiple of 88955 and 88974?

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 88955 and 88974 is 7914682170.

LCM(88955,88974) = 7914682170

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Least Common Multiple of 88955 and 88974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88955 and 88974, than apply into the LCM equation.

GCF(88955,88974) = 1
LCM(88955,88974) = ( 88955 × 88974) / 1
LCM(88955,88974) = 7914682170 / 1
LCM(88955,88974) = 7914682170

Least Common Multiple (LCM) of 88955 and 88974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88955 and 88974. First we will calculate the prime factors of 88955 and 88974.

Prime Factorization of 88955

Prime factors of 88955 are 5, 17791. Prime factorization of 88955 in exponential form is:

88955 = 51 × 177911

Prime Factorization of 88974

Prime factors of 88974 are 2, 3, 4943. Prime factorization of 88974 in exponential form is:

88974 = 21 × 32 × 49431

Now multiplying the highest exponent prime factors to calculate the LCM of 88955 and 88974.

LCM(88955,88974) = 51 × 177911 × 21 × 32 × 49431
LCM(88955,88974) = 7914682170