What is the Least Common Multiple of 55748 and 55759?

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 55748 and 55759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55748 and 55759, than apply into the LCM equation.

GCF(55748,55759) = 11
LCM(55748,55759) = ( 55748 × 55759) / 11
LCM(55748,55759) = 3108452732 / 11
LCM(55748,55759) = 282586612

Least Common Multiple (LCM) of 55748 and 55759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55748 and 55759. First we will calculate the prime factors of 55748 and 55759.

Prime Factorization of 55748

Prime Factorization of 55759

Now multiplying the highest exponent prime factors to calculate the LCM of 55748 and 55759.

LCM(55748,55759) = 2² × 7¹ × 11¹ × 181¹ × 37¹ × 137¹
LCM(55748,55759) = 282586612