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What is the Least Common Multiple of 88771 and 88782?

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 88771 and 88782 is 7881266922.

LCM(88771,88782) = 7881266922

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Least Common Multiple of 88771 and 88782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88771 and 88782, than apply into the LCM equation.

GCF(88771,88782) = 1
LCM(88771,88782) = ( 88771 × 88782) / 1
LCM(88771,88782) = 7881266922 / 1
LCM(88771,88782) = 7881266922

Least Common Multiple (LCM) of 88771 and 88782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88771 and 88782. First we will calculate the prime factors of 88771 and 88782.

Prime Factorization of 88771

Prime factors of 88771 are 88771. Prime factorization of 88771 in exponential form is:

88771 = 887711

Prime Factorization of 88782

Prime factors of 88782 are 2, 3, 14797. Prime factorization of 88782 in exponential form is:

88782 = 21 × 31 × 147971

Now multiplying the highest exponent prime factors to calculate the LCM of 88771 and 88782.

LCM(88771,88782) = 887711 × 21 × 31 × 147971
LCM(88771,88782) = 7881266922