What is the Least Common Multiple of 55648 and 55660?

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 55648 and 55660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55648 and 55660, than apply into the LCM equation.

GCF(55648,55660) = 4
LCM(55648,55660) = ( 55648 × 55660) / 4
LCM(55648,55660) = 3097367680 / 4
LCM(55648,55660) = 774341920

Least Common Multiple (LCM) of 55648 and 55660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55648 and 55660. First we will calculate the prime factors of 55648 and 55660.

Prime Factorization of 55648

Prime Factorization of 55660

Now multiplying the highest exponent prime factors to calculate the LCM of 55648 and 55660.

LCM(55648,55660) = 2⁵ × 37¹ × 47¹ × 5¹ × 11² × 23¹
LCM(55648,55660) = 774341920