What is the Least Common Multiple of 81048 and 81057?

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 81057 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 81057, than apply into the LCM equation.

GCF(81048,81057) = 3
LCM(81048,81057) = ( 81048 × 81057) / 3
LCM(81048,81057) = 6569507736 / 3
LCM(81048,81057) = 2189835912

Least Common Multiple (LCM) of 81048 and 81057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81048 and 81057. First we will calculate the prime factors of 81048 and 81057.

Prime Factorization of 81048

Prime Factorization of 81057

Now multiplying the highest exponent prime factors to calculate the LCM of 81048 and 81057.

LCM(81048,81057) = 2³ × 3¹ × 11¹ × 307¹ × 41¹ × 659¹
LCM(81048,81057) = 2189835912