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What is the Least Common Multiple of 79071 and 79091?

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 79071 and 79091 is 6253804461.

LCM(79071,79091) = 6253804461

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Least Common Multiple of 79071 and 79091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79071 and 79091, than apply into the LCM equation.

GCF(79071,79091) = 1
LCM(79071,79091) = ( 79071 × 79091) / 1
LCM(79071,79091) = 6253804461 / 1
LCM(79071,79091) = 6253804461

Least Common Multiple (LCM) of 79071 and 79091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79071 and 79091. First we will calculate the prime factors of 79071 and 79091.

Prime Factorization of 79071

Prime factors of 79071 are 3, 26357. Prime factorization of 79071 in exponential form is:

79071 = 31 × 263571

Prime Factorization of 79091

Prime factors of 79091 are 139, 569. Prime factorization of 79091 in exponential form is:

79091 = 1391 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 79071 and 79091.

LCM(79071,79091) = 31 × 263571 × 1391 × 5691
LCM(79071,79091) = 6253804461