What is the Least Common Multiple of 79846 and 79859?

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 79846 and 79859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79846 and 79859, than apply into the LCM equation.

GCF(79846,79859) = 13
LCM(79846,79859) = ( 79846 × 79859) / 13
LCM(79846,79859) = 6376421714 / 13
LCM(79846,79859) = 490493978

Least Common Multiple (LCM) of 79846 and 79859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79846 and 79859. First we will calculate the prime factors of 79846 and 79859.

Prime Factorization of 79846

Prime Factorization of 79859

Now multiplying the highest exponent prime factors to calculate the LCM of 79846 and 79859.

LCM(79846,79859) = 2¹ × 13¹ × 37¹ × 83¹ × 6143¹
LCM(79846,79859) = 490493978