What is the Least Common Multiple of 60783 and 60798?

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 60783 and 60798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60783 and 60798, than apply into the LCM equation.

GCF(60783,60798) = 3
LCM(60783,60798) = ( 60783 × 60798) / 3
LCM(60783,60798) = 3695484834 / 3
LCM(60783,60798) = 1231828278

Least Common Multiple (LCM) of 60783 and 60798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60783 and 60798. First we will calculate the prime factors of 60783 and 60798.

Prime Factorization of 60783

Prime Factorization of 60798

Now multiplying the highest exponent prime factors to calculate the LCM of 60783 and 60798.

LCM(60783,60798) = 3¹ × 20261¹ × 2¹ × 10133¹
LCM(60783,60798) = 1231828278