What is the Least Common Multiple of 55356 and 55376?

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 55356 and 55376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55356 and 55376, than apply into the LCM equation.

GCF(55356,55376) = 4
LCM(55356,55376) = ( 55356 × 55376) / 4
LCM(55356,55376) = 3065393856 / 4
LCM(55356,55376) = 766348464

Least Common Multiple (LCM) of 55356 and 55376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55356 and 55376. First we will calculate the prime factors of 55356 and 55376.

Prime Factorization of 55356

Prime Factorization of 55376

Now multiplying the highest exponent prime factors to calculate the LCM of 55356 and 55376.

LCM(55356,55376) = 2⁴ × 3¹ × 7¹ × 659¹ × 3461¹
LCM(55356,55376) = 766348464