What is the Least Common Multiple of 55410 and 55428?

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 55410 and 55428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55410 and 55428, than apply into the LCM equation.

GCF(55410,55428) = 6
LCM(55410,55428) = ( 55410 × 55428) / 6
LCM(55410,55428) = 3071265480 / 6
LCM(55410,55428) = 511877580

Least Common Multiple (LCM) of 55410 and 55428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55410 and 55428. First we will calculate the prime factors of 55410 and 55428.

Prime Factorization of 55410

Prime Factorization of 55428

Now multiplying the highest exponent prime factors to calculate the LCM of 55410 and 55428.

LCM(55410,55428) = 2² × 3¹ × 5¹ × 1847¹ × 31¹ × 149¹
LCM(55410,55428) = 511877580