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What is the Least Common Multiple of 79886 and 79898?

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 79886 and 79898 is 3191365814.

LCM(79886,79898) = 3191365814

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Least Common Multiple of 79886 and 79898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79886 and 79898, than apply into the LCM equation.

GCF(79886,79898) = 2
LCM(79886,79898) = ( 79886 × 79898) / 2
LCM(79886,79898) = 6382731628 / 2
LCM(79886,79898) = 3191365814

Least Common Multiple (LCM) of 79886 and 79898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79886 and 79898. First we will calculate the prime factors of 79886 and 79898.

Prime Factorization of 79886

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

79886 = 21 × 591 × 6771

Prime Factorization of 79898

Prime factors of 79898 are 2, 7, 13, 439. Prime factorization of 79898 in exponential form is:

79898 = 21 × 71 × 131 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 79886 and 79898.

LCM(79886,79898) = 21 × 591 × 6771 × 71 × 131 × 4391
LCM(79886,79898) = 3191365814