What is the Least Common Multiple of 91494 and 91503?

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 91494 and 91503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91494 and 91503, than apply into the LCM equation.

GCF(91494,91503) = 9
LCM(91494,91503) = ( 91494 × 91503) / 9
LCM(91494,91503) = 8371975482 / 9
LCM(91494,91503) = 930219498

Least Common Multiple (LCM) of 91494 and 91503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91494 and 91503. First we will calculate the prime factors of 91494 and 91503.

Prime Factorization of 91494

Prime Factorization of 91503

Now multiplying the highest exponent prime factors to calculate the LCM of 91494 and 91503.

LCM(91494,91503) = 2¹ × 3³ × 13¹ × 17¹ × 23¹ × 3389¹
LCM(91494,91503) = 930219498