What is the Least Common Multiple of 81486 and 81490?

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 81486 and 81490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81486 and 81490, than apply into the LCM equation.

GCF(81486,81490) = 2
LCM(81486,81490) = ( 81486 × 81490) / 2
LCM(81486,81490) = 6640294140 / 2
LCM(81486,81490) = 3320147070

Least Common Multiple (LCM) of 81486 and 81490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81486 and 81490. First we will calculate the prime factors of 81486 and 81490.

Prime Factorization of 81486

Prime Factorization of 81490

Now multiplying the highest exponent prime factors to calculate the LCM of 81486 and 81490.

LCM(81486,81490) = 2¹ × 3⁴ × 503¹ × 5¹ × 29¹ × 281¹
LCM(81486,81490) = 3320147070