What is the Least Common Multiple of 91188 and 91200?

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 91188 and 91200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91188 and 91200, than apply into the LCM equation.

GCF(91188,91200) = 12
LCM(91188,91200) = ( 91188 × 91200) / 12
LCM(91188,91200) = 8316345600 / 12
LCM(91188,91200) = 693028800

Least Common Multiple (LCM) of 91188 and 91200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91188 and 91200. First we will calculate the prime factors of 91188 and 91200.

Prime Factorization of 91188

Prime Factorization of 91200

Now multiplying the highest exponent prime factors to calculate the LCM of 91188 and 91200.

LCM(91188,91200) = 2⁶ × 3² × 17¹ × 149¹ × 5² × 19¹
LCM(91188,91200) = 693028800