What is the Least Common Multiple of 55428 and 55448?

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 55428 and 55448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55428 and 55448, than apply into the LCM equation.

GCF(55428,55448) = 4
LCM(55428,55448) = ( 55428 × 55448) / 4
LCM(55428,55448) = 3073371744 / 4
LCM(55428,55448) = 768342936

Least Common Multiple (LCM) of 55428 and 55448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55428 and 55448. First we will calculate the prime factors of 55428 and 55448.

Prime Factorization of 55428

Prime Factorization of 55448

Now multiplying the highest exponent prime factors to calculate the LCM of 55428 and 55448.

LCM(55428,55448) = 2³ × 3¹ × 31¹ × 149¹ × 29¹ × 239¹
LCM(55428,55448) = 768342936