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What is the Least Common Multiple of 87922 and 87930?

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 87922 and 87930 is 3865490730.

LCM(87922,87930) = 3865490730

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Least Common Multiple of 87922 and 87930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87922 and 87930, than apply into the LCM equation.

GCF(87922,87930) = 2
LCM(87922,87930) = ( 87922 × 87930) / 2
LCM(87922,87930) = 7730981460 / 2
LCM(87922,87930) = 3865490730

Least Common Multiple (LCM) of 87922 and 87930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87922 and 87930. First we will calculate the prime factors of 87922 and 87930.

Prime Factorization of 87922

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

87922 = 21 × 439611

Prime Factorization of 87930

Prime factors of 87930 are 2, 3, 5, 977. Prime factorization of 87930 in exponential form is:

87930 = 21 × 32 × 51 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 87922 and 87930.

LCM(87922,87930) = 21 × 439611 × 32 × 51 × 9771
LCM(87922,87930) = 3865490730