What is the Least Common Multiple of 77196 and 77206?

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 77196 and 77206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77196 and 77206, than apply into the LCM equation.

GCF(77196,77206) = 2
LCM(77196,77206) = ( 77196 × 77206) / 2
LCM(77196,77206) = 5959994376 / 2
LCM(77196,77206) = 2979997188

Least Common Multiple (LCM) of 77196 and 77206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77196 and 77206. First we will calculate the prime factors of 77196 and 77206.

Prime Factorization of 77196

Prime Factorization of 77206

Now multiplying the highest exponent prime factors to calculate the LCM of 77196 and 77206.

LCM(77196,77206) = 2² × 3¹ × 7¹ × 919¹ × 38603¹
LCM(77196,77206) = 2979997188