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What is the Least Common Multiple of 79867 and 79871?

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 79867 and 79871 is 6379057157.

LCM(79867,79871) = 6379057157

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Least Common Multiple of 79867 and 79871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79867 and 79871, than apply into the LCM equation.

GCF(79867,79871) = 1
LCM(79867,79871) = ( 79867 × 79871) / 1
LCM(79867,79871) = 6379057157 / 1
LCM(79867,79871) = 6379057157

Least Common Multiple (LCM) of 79867 and 79871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79867 and 79871. First we will calculate the prime factors of 79867 and 79871.

Prime Factorization of 79867

Prime factors of 79867 are 79867. Prime factorization of 79867 in exponential form is:

79867 = 798671

Prime Factorization of 79871

Prime factors of 79871 are 11, 53, 137. Prime factorization of 79871 in exponential form is:

79871 = 111 × 531 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 79867 and 79871.

LCM(79867,79871) = 798671 × 111 × 531 × 1371
LCM(79867,79871) = 6379057157