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What is the Least Common Multiple of 88878 and 88886?

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 88878 and 88886 is 3950004954.

LCM(88878,88886) = 3950004954

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Least Common Multiple of 88878 and 88886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88878 and 88886, than apply into the LCM equation.

GCF(88878,88886) = 2
LCM(88878,88886) = ( 88878 × 88886) / 2
LCM(88878,88886) = 7900009908 / 2
LCM(88878,88886) = 3950004954

Least Common Multiple (LCM) of 88878 and 88886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88878 and 88886. First we will calculate the prime factors of 88878 and 88886.

Prime Factorization of 88878

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

88878 = 21 × 31 × 148131

Prime Factorization of 88886

Prime factors of 88886 are 2, 7, 907. Prime factorization of 88886 in exponential form is:

88886 = 21 × 72 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 88878 and 88886.

LCM(88878,88886) = 21 × 31 × 148131 × 72 × 9071
LCM(88878,88886) = 3950004954