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What is the Least Common Multiple of 88867 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 88867 and 88878 is 7898321226.

LCM(88867,88878) = 7898321226

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Least Common Multiple of 88867 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 88867 and 88878, than apply into the LCM equation.

GCF(88867,88878) = 1
LCM(88867,88878) = ( 88867 × 88878) / 1
LCM(88867,88878) = 7898321226 / 1
LCM(88867,88878) = 7898321226

Least Common Multiple (LCM) of 88867 and 88878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88867 and 88878. First we will calculate the prime factors of 88867 and 88878.

Prime Factorization of 88867

Prime factors of 88867 are 88867. Prime factorization of 88867 in exponential form is:

88867 = 888671

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 88867 and 88878.

LCM(88867,88878) = 888671 × 21 × 31 × 148131
LCM(88867,88878) = 7898321226