What is the Least Common Multiple of 81048 and 81059?

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 81048 and 81059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81048 and 81059, than apply into the LCM equation.

GCF(81048,81059) = 11
LCM(81048,81059) = ( 81048 × 81059) / 11
LCM(81048,81059) = 6569669832 / 11
LCM(81048,81059) = 597242712

Least Common Multiple (LCM) of 81048 and 81059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81048 and 81059. First we will calculate the prime factors of 81048 and 81059.

Prime Factorization of 81048

Prime Factorization of 81059

Now multiplying the highest exponent prime factors to calculate the LCM of 81048 and 81059.

LCM(81048,81059) = 2³ × 3¹ × 11¹ × 307¹ × 7369¹
LCM(81048,81059) = 597242712