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What is the Least Common Multiple of 88927 and 88946?

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 88927 and 88946 is 7909700942.

LCM(88927,88946) = 7909700942

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Least Common Multiple of 88927 and 88946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88927 and 88946, than apply into the LCM equation.

GCF(88927,88946) = 1
LCM(88927,88946) = ( 88927 × 88946) / 1
LCM(88927,88946) = 7909700942 / 1
LCM(88927,88946) = 7909700942

Least Common Multiple (LCM) of 88927 and 88946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88927 and 88946. First we will calculate the prime factors of 88927 and 88946.

Prime Factorization of 88927

Prime factors of 88927 are 17, 5231. Prime factorization of 88927 in exponential form is:

88927 = 171 × 52311

Prime Factorization of 88946

Prime factors of 88946 are 2, 11, 13, 311. Prime factorization of 88946 in exponential form is:

88946 = 21 × 111 × 131 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 88927 and 88946.

LCM(88927,88946) = 171 × 52311 × 21 × 111 × 131 × 3111
LCM(88927,88946) = 7909700942