What is the Least Common Multiple of 91470 and 91490?

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 91490 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 91490, than apply into the LCM equation.

GCF(91470,91490) = 10
LCM(91470,91490) = ( 91470 × 91490) / 10
LCM(91470,91490) = 8368590300 / 10
LCM(91470,91490) = 836859030

Least Common Multiple (LCM) of 91470 and 91490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91470 and 91490. First we will calculate the prime factors of 91470 and 91490.

Prime Factorization of 91470

Prime Factorization of 91490

Now multiplying the highest exponent prime factors to calculate the LCM of 91470 and 91490.

LCM(91470,91490) = 2¹ × 3¹ × 5¹ × 3049¹ × 7¹ × 1307¹
LCM(91470,91490) = 836859030