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What is the Least Common Multiple of 88862 and 88876?

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 88862 and 88876 is 3948849556.

LCM(88862,88876) = 3948849556

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Least Common Multiple of 88862 and 88876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88862 and 88876, than apply into the LCM equation.

GCF(88862,88876) = 2
LCM(88862,88876) = ( 88862 × 88876) / 2
LCM(88862,88876) = 7897699112 / 2
LCM(88862,88876) = 3948849556

Least Common Multiple (LCM) of 88862 and 88876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88862 and 88876. First we will calculate the prime factors of 88862 and 88876.

Prime Factorization of 88862

Prime factors of 88862 are 2, 157, 283. Prime factorization of 88862 in exponential form is:

88862 = 21 × 1571 × 2831

Prime Factorization of 88876

Prime factors of 88876 are 2, 17, 1307. Prime factorization of 88876 in exponential form is:

88876 = 22 × 171 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 88862 and 88876.

LCM(88862,88876) = 22 × 1571 × 2831 × 171 × 13071
LCM(88862,88876) = 3948849556