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What is the Least Common Multiple of 77026 and 77031?

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 77026 and 77031 is 5933389806.

LCM(77026,77031) = 5933389806

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Least Common Multiple of 77026 and 77031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77026 and 77031, than apply into the LCM equation.

GCF(77026,77031) = 1
LCM(77026,77031) = ( 77026 × 77031) / 1
LCM(77026,77031) = 5933389806 / 1
LCM(77026,77031) = 5933389806

Least Common Multiple (LCM) of 77026 and 77031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77026 and 77031. First we will calculate the prime factors of 77026 and 77031.

Prime Factorization of 77026

Prime factors of 77026 are 2, 19, 2027. Prime factorization of 77026 in exponential form is:

77026 = 21 × 191 × 20271

Prime Factorization of 77031

Prime factors of 77031 are 3, 317. Prime factorization of 77031 in exponential form is:

77031 = 35 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 77026 and 77031.

LCM(77026,77031) = 21 × 191 × 20271 × 35 × 3171
LCM(77026,77031) = 5933389806