What is the Least Common Multiple of 88470 and 88490?

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 88470 and 88490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88470 and 88490, than apply into the LCM equation.

GCF(88470,88490) = 10
LCM(88470,88490) = ( 88470 × 88490) / 10
LCM(88470,88490) = 7828710300 / 10
LCM(88470,88490) = 782871030

Least Common Multiple (LCM) of 88470 and 88490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88470 and 88490. First we will calculate the prime factors of 88470 and 88490.

Prime Factorization of 88470

Prime Factorization of 88490

Now multiplying the highest exponent prime factors to calculate the LCM of 88470 and 88490.

LCM(88470,88490) = 2¹ × 3² × 5¹ × 983¹ × 8849¹
LCM(88470,88490) = 782871030