What is the Least Common Multiple of 59744 and 59748?

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 59744 and 59748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59744 and 59748, than apply into the LCM equation.

GCF(59744,59748) = 4
LCM(59744,59748) = ( 59744 × 59748) / 4
LCM(59744,59748) = 3569584512 / 4
LCM(59744,59748) = 892396128

Least Common Multiple (LCM) of 59744 and 59748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59744 and 59748. First we will calculate the prime factors of 59744 and 59748.

Prime Factorization of 59744

Prime Factorization of 59748

Now multiplying the highest exponent prime factors to calculate the LCM of 59744 and 59748.

LCM(59744,59748) = 2⁵ × 1867¹ × 3¹ × 13¹ × 383¹
LCM(59744,59748) = 892396128