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What is the Least Common Multiple of 79882 and 79886?

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 79882 and 79886 is 3190726726.

LCM(79882,79886) = 3190726726

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Least Common Multiple of 79882 and 79886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79882 and 79886, than apply into the LCM equation.

GCF(79882,79886) = 2
LCM(79882,79886) = ( 79882 × 79886) / 2
LCM(79882,79886) = 6381453452 / 2
LCM(79882,79886) = 3190726726

Least Common Multiple (LCM) of 79882 and 79886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79882 and 79886. First we will calculate the prime factors of 79882 and 79886.

Prime Factorization of 79882

Prime factors of 79882 are 2, 11, 3631. Prime factorization of 79882 in exponential form is:

79882 = 21 × 111 × 36311

Prime Factorization of 79886

Prime factors of 79886 are 2, 59, 677. Prime factorization of 79886 in exponential form is:

79886 = 21 × 591 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 79882 and 79886.

LCM(79882,79886) = 21 × 111 × 36311 × 591 × 6771
LCM(79882,79886) = 3190726726