What is the Least Common Multiple of 91200 and 91209?

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 91200 and 91209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91200 and 91209, than apply into the LCM equation.

GCF(91200,91209) = 3
LCM(91200,91209) = ( 91200 × 91209) / 3
LCM(91200,91209) = 8318260800 / 3
LCM(91200,91209) = 2772753600

Least Common Multiple (LCM) of 91200 and 91209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91200 and 91209. First we will calculate the prime factors of 91200 and 91209.

Prime Factorization of 91200

Prime Factorization of 91209

Now multiplying the highest exponent prime factors to calculate the LCM of 91200 and 91209.

LCM(91200,91209) = 2⁶ × 3¹ × 5² × 19¹ × 30403¹
LCM(91200,91209) = 2772753600