What is the Least Common Multiple of 81465 and 81480?

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 81465 and 81480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81465 and 81480, than apply into the LCM equation.

GCF(81465,81480) = 15
LCM(81465,81480) = ( 81465 × 81480) / 15
LCM(81465,81480) = 6637768200 / 15
LCM(81465,81480) = 442517880

Least Common Multiple (LCM) of 81465 and 81480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81465 and 81480. First we will calculate the prime factors of 81465 and 81480.

Prime Factorization of 81465

Prime Factorization of 81480

Now multiplying the highest exponent prime factors to calculate the LCM of 81465 and 81480.

LCM(81465,81480) = 3¹ × 5¹ × 5431¹ × 2³ × 7¹ × 97¹
LCM(81465,81480) = 442517880