What is the Least Common Multiple of 55688 and 55704?

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 55688 and 55704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55688 and 55704, than apply into the LCM equation.

GCF(55688,55704) = 8
LCM(55688,55704) = ( 55688 × 55704) / 8
LCM(55688,55704) = 3102044352 / 8
LCM(55688,55704) = 387755544

Least Common Multiple (LCM) of 55688 and 55704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55688 and 55704. First we will calculate the prime factors of 55688 and 55704.

Prime Factorization of 55688

Prime Factorization of 55704

Now multiplying the highest exponent prime factors to calculate the LCM of 55688 and 55704.

LCM(55688,55704) = 2³ × 6961¹ × 3¹ × 11¹ × 211¹
LCM(55688,55704) = 387755544