What is the Least Common Multiple of 91470 and 91475?

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 91470 and 91475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91470 and 91475, than apply into the LCM equation.

GCF(91470,91475) = 5
LCM(91470,91475) = ( 91470 × 91475) / 5
LCM(91470,91475) = 8367218250 / 5
LCM(91470,91475) = 1673443650

Least Common Multiple (LCM) of 91470 and 91475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91470 and 91475. First we will calculate the prime factors of 91470 and 91475.

Prime Factorization of 91470

Prime Factorization of 91475

Now multiplying the highest exponent prime factors to calculate the LCM of 91470 and 91475.

LCM(91470,91475) = 2¹ × 3¹ × 5² × 3049¹ × 3659¹
LCM(91470,91475) = 1673443650