What is the Least Common Multiple of 81480 and 81486?

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 81480 and 81486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81480 and 81486, than apply into the LCM equation.

GCF(81480,81486) = 6
LCM(81480,81486) = ( 81480 × 81486) / 6
LCM(81480,81486) = 6639479280 / 6
LCM(81480,81486) = 1106579880

Least Common Multiple (LCM) of 81480 and 81486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81480 and 81486. First we will calculate the prime factors of 81480 and 81486.

Prime Factorization of 81480

Prime Factorization of 81486

Now multiplying the highest exponent prime factors to calculate the LCM of 81480 and 81486.

LCM(81480,81486) = 2³ × 3⁴ × 5¹ × 7¹ × 97¹ × 503¹
LCM(81480,81486) = 1106579880