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What is the Least Common Multiple of 88911 and 88930?

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 88911 and 88930 is 7906855230.

LCM(88911,88930) = 7906855230

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Least Common Multiple of 88911 and 88930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88911 and 88930, than apply into the LCM equation.

GCF(88911,88930) = 1
LCM(88911,88930) = ( 88911 × 88930) / 1
LCM(88911,88930) = 7906855230 / 1
LCM(88911,88930) = 7906855230

Least Common Multiple (LCM) of 88911 and 88930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88911 and 88930. First we will calculate the prime factors of 88911 and 88930.

Prime Factorization of 88911

Prime factors of 88911 are 3, 37, 89. Prime factorization of 88911 in exponential form is:

88911 = 33 × 371 × 891

Prime Factorization of 88930

Prime factors of 88930 are 2, 5, 8893. Prime factorization of 88930 in exponential form is:

88930 = 21 × 51 × 88931

Now multiplying the highest exponent prime factors to calculate the LCM of 88911 and 88930.

LCM(88911,88930) = 33 × 371 × 891 × 21 × 51 × 88931
LCM(88911,88930) = 7906855230