What is the Least Common Multiple of 79829 and 79847?

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 of 79829 and 79847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79829 and 79847, than apply into the LCM equation.

GCF(79829,79847) = 1
LCM(79829,79847) = ( 79829 × 79847) / 1
LCM(79829,79847) = 6374106163 / 1
LCM(79829,79847) = 6374106163

Least Common Multiple (LCM) of 79829 and 79847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79829 and 79847. First we will calculate the prime factors of 79829 and 79847.

Prime Factorization of 79829

Prime Factorization of 79847

Now multiplying the highest exponent prime factors to calculate the LCM of 79829 and 79847.

LCM(79829,79847) = 79829¹ × 79847¹
LCM(79829,79847) = 6374106163