What is the Least Common Multiple of 79196 and 79207?

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 79196 and 79207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79196 and 79207, than apply into the LCM equation.

GCF(79196,79207) = 1
LCM(79196,79207) = ( 79196 × 79207) / 1
LCM(79196,79207) = 6272877572 / 1
LCM(79196,79207) = 6272877572

Least Common Multiple (LCM) of 79196 and 79207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79196 and 79207. First we will calculate the prime factors of 79196 and 79207.

Prime Factorization of 79196

Prime Factorization of 79207

Now multiplying the highest exponent prime factors to calculate the LCM of 79196 and 79207.

LCM(79196,79207) = 2² × 13¹ × 1523¹ × 103¹ × 769¹
LCM(79196,79207) = 6272877572