What is the Least Common Multiple of 59724 and 59744?

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 59724 and 59744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59724 and 59744, than apply into the LCM equation.

GCF(59724,59744) = 4
LCM(59724,59744) = ( 59724 × 59744) / 4
LCM(59724,59744) = 3568150656 / 4
LCM(59724,59744) = 892037664

Least Common Multiple (LCM) of 59724 and 59744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59724 and 59744. First we will calculate the prime factors of 59724 and 59744.

Prime Factorization of 59724

Prime Factorization of 59744

Now multiplying the highest exponent prime factors to calculate the LCM of 59724 and 59744.

LCM(59724,59744) = 2⁵ × 3³ × 7¹ × 79¹ × 1867¹
LCM(59724,59744) = 892037664