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What is the Least Common Multiple of 88870 and 88878?

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 88870 and 88878 is 3949293930.

LCM(88870,88878) = 3949293930

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Least Common Multiple of 88870 and 88878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88870 and 88878, than apply into the LCM equation.

GCF(88870,88878) = 2
LCM(88870,88878) = ( 88870 × 88878) / 2
LCM(88870,88878) = 7898587860 / 2
LCM(88870,88878) = 3949293930

Least Common Multiple (LCM) of 88870 and 88878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88870 and 88878. First we will calculate the prime factors of 88870 and 88878.

Prime Factorization of 88870

Prime factors of 88870 are 2, 5, 8887. Prime factorization of 88870 in exponential form is:

88870 = 21 × 51 × 88871

Prime Factorization of 88878

Prime factors of 88878 are 2, 3, 14813. Prime factorization of 88878 in exponential form is:

88878 = 21 × 31 × 148131

Now multiplying the highest exponent prime factors to calculate the LCM of 88870 and 88878.

LCM(88870,88878) = 21 × 51 × 88871 × 31 × 148131
LCM(88870,88878) = 3949293930