What is the Least Common Multiple of 55459 and 55476?

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 55459 and 55476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55459 and 55476, than apply into the LCM equation.

GCF(55459,55476) = 1
LCM(55459,55476) = ( 55459 × 55476) / 1
LCM(55459,55476) = 3076643484 / 1
LCM(55459,55476) = 3076643484

Least Common Multiple (LCM) of 55459 and 55476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55459 and 55476. First we will calculate the prime factors of 55459 and 55476.

Prime Factorization of 55459

Prime Factorization of 55476

Now multiplying the highest exponent prime factors to calculate the LCM of 55459 and 55476.

LCM(55459,55476) = 31¹ × 1789¹ × 2² × 3² × 23¹ × 67¹
LCM(55459,55476) = 3076643484