What is the Least Common Multiple of 91425 and 91443?

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 91425 and 91443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91425 and 91443, than apply into the LCM equation.

GCF(91425,91443) = 3
LCM(91425,91443) = ( 91425 × 91443) / 3
LCM(91425,91443) = 8360176275 / 3
LCM(91425,91443) = 2786725425

Least Common Multiple (LCM) of 91425 and 91443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91425 and 91443. First we will calculate the prime factors of 91425 and 91443.

Prime Factorization of 91425

Prime Factorization of 91443

Now multiplying the highest exponent prime factors to calculate the LCM of 91425 and 91443.

LCM(91425,91443) = 3¹ × 5² × 23¹ × 53¹ × 11¹ × 17¹ × 163¹
LCM(91425,91443) = 2786725425