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What is the Least Common Multiple of 89867 and 89876?

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 89867 and 89876 is 8076886492.

LCM(89867,89876) = 8076886492

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Least Common Multiple of 89867 and 89876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89867 and 89876, than apply into the LCM equation.

GCF(89867,89876) = 1
LCM(89867,89876) = ( 89867 × 89876) / 1
LCM(89867,89876) = 8076886492 / 1
LCM(89867,89876) = 8076886492

Least Common Multiple (LCM) of 89867 and 89876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89867 and 89876. First we will calculate the prime factors of 89867 and 89876.

Prime Factorization of 89867

Prime factors of 89867 are 89867. Prime factorization of 89867 in exponential form is:

89867 = 898671

Prime Factorization of 89876

Prime factors of 89876 are 2, 22469. Prime factorization of 89876 in exponential form is:

89876 = 22 × 224691

Now multiplying the highest exponent prime factors to calculate the LCM of 89867 and 89876.

LCM(89867,89876) = 898671 × 22 × 224691
LCM(89867,89876) = 8076886492