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What is the Least Common Multiple of 87926 and 87941?

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 87926 and 87941 is 7732300366.

LCM(87926,87941) = 7732300366

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Least Common Multiple of 87926 and 87941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87926 and 87941, than apply into the LCM equation.

GCF(87926,87941) = 1
LCM(87926,87941) = ( 87926 × 87941) / 1
LCM(87926,87941) = 7732300366 / 1
LCM(87926,87941) = 7732300366

Least Common Multiple (LCM) of 87926 and 87941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87926 and 87941. First we will calculate the prime factors of 87926 and 87941.

Prime Factorization of 87926

Prime factors of 87926 are 2, 43963. Prime factorization of 87926 in exponential form is:

87926 = 21 × 439631

Prime Factorization of 87941

Prime factors of 87941 are 7, 17, 739. Prime factorization of 87941 in exponential form is:

87941 = 71 × 171 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 87926 and 87941.

LCM(87926,87941) = 21 × 439631 × 71 × 171 × 7391
LCM(87926,87941) = 7732300366