What is the Least Common Multiple of 91431 and 91446?

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 91431 and 91446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91431 and 91446, than apply into the LCM equation.

GCF(91431,91446) = 3
LCM(91431,91446) = ( 91431 × 91446) / 3
LCM(91431,91446) = 8360999226 / 3
LCM(91431,91446) = 2786999742

Least Common Multiple (LCM) of 91431 and 91446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91431 and 91446. First we will calculate the prime factors of 91431 and 91446.

Prime Factorization of 91431

Prime Factorization of 91446

Now multiplying the highest exponent prime factors to calculate the LCM of 91431 and 91446.

LCM(91431,91446) = 3² × 10159¹ × 2¹ × 15241¹
LCM(91431,91446) = 2786999742