What is the Least Common Multiple of 59744 and 59752?

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 59752 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 59752, than apply into the LCM equation.

GCF(59744,59752) = 8
LCM(59744,59752) = ( 59744 × 59752) / 8
LCM(59744,59752) = 3569823488 / 8
LCM(59744,59752) = 446227936

Least Common Multiple (LCM) of 59744 and 59752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59744 and 59752. First we will calculate the prime factors of 59744 and 59752.

Prime Factorization of 59744

Prime Factorization of 59752

Now multiplying the highest exponent prime factors to calculate the LCM of 59744 and 59752.

LCM(59744,59752) = 2⁵ × 1867¹ × 7¹ × 11¹ × 97¹
LCM(59744,59752) = 446227936