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What is the Least Common Multiple of 88917 and 88922?

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 88917 and 88922 is 7906677474.

LCM(88917,88922) = 7906677474

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Least Common Multiple of 88917 and 88922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88917 and 88922, than apply into the LCM equation.

GCF(88917,88922) = 1
LCM(88917,88922) = ( 88917 × 88922) / 1
LCM(88917,88922) = 7906677474 / 1
LCM(88917,88922) = 7906677474

Least Common Multiple (LCM) of 88917 and 88922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88917 and 88922. First we will calculate the prime factors of 88917 and 88922.

Prime Factorization of 88917

Prime factors of 88917 are 3, 107, 277. Prime factorization of 88917 in exponential form is:

88917 = 31 × 1071 × 2771

Prime Factorization of 88922

Prime factors of 88922 are 2, 173, 257. Prime factorization of 88922 in exponential form is:

88922 = 21 × 1731 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 88917 and 88922.

LCM(88917,88922) = 31 × 1071 × 2771 × 21 × 1731 × 2571
LCM(88917,88922) = 7906677474