What is the Least Common Multiple of 55560 and 55576?

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 55560 and 55576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55560 and 55576, than apply into the LCM equation.

GCF(55560,55576) = 8
LCM(55560,55576) = ( 55560 × 55576) / 8
LCM(55560,55576) = 3087802560 / 8
LCM(55560,55576) = 385975320

Least Common Multiple (LCM) of 55560 and 55576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55560 and 55576. First we will calculate the prime factors of 55560 and 55576.

Prime Factorization of 55560

Prime Factorization of 55576

Now multiplying the highest exponent prime factors to calculate the LCM of 55560 and 55576.

LCM(55560,55576) = 2³ × 3¹ × 5¹ × 463¹ × 6947¹
LCM(55560,55576) = 385975320