What is the Least Common Multiple of 60768 and 60783?

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 60768 and 60783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60768 and 60783, than apply into the LCM equation.

GCF(60768,60783) = 3
LCM(60768,60783) = ( 60768 × 60783) / 3
LCM(60768,60783) = 3693661344 / 3
LCM(60768,60783) = 1231220448

Least Common Multiple (LCM) of 60768 and 60783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60768 and 60783. First we will calculate the prime factors of 60768 and 60783.

Prime Factorization of 60768

Prime Factorization of 60783

Now multiplying the highest exponent prime factors to calculate the LCM of 60768 and 60783.

LCM(60768,60783) = 2⁵ × 3² × 211¹ × 20261¹
LCM(60768,60783) = 1231220448