What is the Least Common Multiple of 79196 and 79200?

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 79200 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 79200, than apply into the LCM equation.

GCF(79196,79200) = 4
LCM(79196,79200) = ( 79196 × 79200) / 4
LCM(79196,79200) = 6272323200 / 4
LCM(79196,79200) = 1568080800

Least Common Multiple (LCM) of 79196 and 79200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79196 and 79200. First we will calculate the prime factors of 79196 and 79200.

Prime Factorization of 79196

Prime Factorization of 79200

Now multiplying the highest exponent prime factors to calculate the LCM of 79196 and 79200.

LCM(79196,79200) = 2⁵ × 13¹ × 1523¹ × 3² × 5² × 11¹
LCM(79196,79200) = 1568080800