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What is the Least Common Multiple of 88934 and 88939?

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 88934 and 88939 is 7909701026.

LCM(88934,88939) = 7909701026

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Least Common Multiple of 88934 and 88939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88934 and 88939, than apply into the LCM equation.

GCF(88934,88939) = 1
LCM(88934,88939) = ( 88934 × 88939) / 1
LCM(88934,88939) = 7909701026 / 1
LCM(88934,88939) = 7909701026

Least Common Multiple (LCM) of 88934 and 88939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88934 and 88939. First we will calculate the prime factors of 88934 and 88939.

Prime Factorization of 88934

Prime factors of 88934 are 2, 53, 839. Prime factorization of 88934 in exponential form is:

88934 = 21 × 531 × 8391

Prime Factorization of 88939

Prime factors of 88939 are 19, 31, 151. Prime factorization of 88939 in exponential form is:

88939 = 191 × 311 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 88934 and 88939.

LCM(88934,88939) = 21 × 531 × 8391 × 191 × 311 × 1511
LCM(88934,88939) = 7909701026