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What is the Least Common Multiple of 87910 and 87922?

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 87910 and 87922 is 3864611510.

LCM(87910,87922) = 3864611510

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Least Common Multiple of 87910 and 87922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87910 and 87922, than apply into the LCM equation.

GCF(87910,87922) = 2
LCM(87910,87922) = ( 87910 × 87922) / 2
LCM(87910,87922) = 7729223020 / 2
LCM(87910,87922) = 3864611510

Least Common Multiple (LCM) of 87910 and 87922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87910 and 87922. First we will calculate the prime factors of 87910 and 87922.

Prime Factorization of 87910

Prime factors of 87910 are 2, 5, 59, 149. Prime factorization of 87910 in exponential form is:

87910 = 21 × 51 × 591 × 1491

Prime Factorization of 87922

Prime factors of 87922 are 2, 43961. Prime factorization of 87922 in exponential form is:

87922 = 21 × 439611

Now multiplying the highest exponent prime factors to calculate the LCM of 87910 and 87922.

LCM(87910,87922) = 21 × 51 × 591 × 1491 × 439611
LCM(87910,87922) = 3864611510