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What is the Least Common Multiple of 83877 and 83885?

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 83877 and 83885 is 7036022145.

LCM(83877,83885) = 7036022145

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Least Common Multiple of 83877 and 83885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83877 and 83885, than apply into the LCM equation.

GCF(83877,83885) = 1
LCM(83877,83885) = ( 83877 × 83885) / 1
LCM(83877,83885) = 7036022145 / 1
LCM(83877,83885) = 7036022145

Least Common Multiple (LCM) of 83877 and 83885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83877 and 83885. First we will calculate the prime factors of 83877 and 83885.

Prime Factorization of 83877

Prime factors of 83877 are 3, 73, 383. Prime factorization of 83877 in exponential form is:

83877 = 31 × 731 × 3831

Prime Factorization of 83885

Prime factors of 83885 are 5, 19, 883. Prime factorization of 83885 in exponential form is:

83885 = 51 × 191 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 83877 and 83885.

LCM(83877,83885) = 31 × 731 × 3831 × 51 × 191 × 8831
LCM(83877,83885) = 7036022145