What is the Least Common Multiple of 60723 and 60736?

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 60723 and 60736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60723 and 60736, than apply into the LCM equation.

GCF(60723,60736) = 13
LCM(60723,60736) = ( 60723 × 60736) / 13
LCM(60723,60736) = 3688072128 / 13
LCM(60723,60736) = 283697856

Least Common Multiple (LCM) of 60723 and 60736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60723 and 60736. First we will calculate the prime factors of 60723 and 60736.

Prime Factorization of 60723

Prime Factorization of 60736

Now multiplying the highest exponent prime factors to calculate the LCM of 60723 and 60736.

LCM(60723,60736) = 3³ × 13¹ × 173¹ × 2⁶ × 73¹
LCM(60723,60736) = 283697856