What is the Least Common Multiple of 60730 and 60744?

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 60730 and 60744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60730 and 60744, than apply into the LCM equation.

GCF(60730,60744) = 2
LCM(60730,60744) = ( 60730 × 60744) / 2
LCM(60730,60744) = 3688983120 / 2
LCM(60730,60744) = 1844491560

Least Common Multiple (LCM) of 60730 and 60744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60730 and 60744. First we will calculate the prime factors of 60730 and 60744.

Prime Factorization of 60730

Prime Factorization of 60744

Now multiplying the highest exponent prime factors to calculate the LCM of 60730 and 60744.

LCM(60730,60744) = 2³ × 5¹ × 6073¹ × 3¹ × 2531¹
LCM(60730,60744) = 1844491560