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What is the Least Common Multiple of 86026 and 86044?

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 86026 and 86044 is 3701010572.

LCM(86026,86044) = 3701010572

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Least Common Multiple of 86026 and 86044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86026 and 86044, than apply into the LCM equation.

GCF(86026,86044) = 2
LCM(86026,86044) = ( 86026 × 86044) / 2
LCM(86026,86044) = 7402021144 / 2
LCM(86026,86044) = 3701010572

Least Common Multiple (LCM) of 86026 and 86044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86026 and 86044. First we will calculate the prime factors of 86026 and 86044.

Prime Factorization of 86026

Prime factors of 86026 are 2, 43013. Prime factorization of 86026 in exponential form is:

86026 = 21 × 430131

Prime Factorization of 86044

Prime factors of 86044 are 2, 7, 439. Prime factorization of 86044 in exponential form is:

86044 = 22 × 72 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 86026 and 86044.

LCM(86026,86044) = 22 × 430131 × 72 × 4391
LCM(86026,86044) = 3701010572