What is the Least Common Multiple of 55376 and 55382?

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 55376 and 55382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55376 and 55382, than apply into the LCM equation.

GCF(55376,55382) = 2
LCM(55376,55382) = ( 55376 × 55382) / 2
LCM(55376,55382) = 3066833632 / 2
LCM(55376,55382) = 1533416816

Least Common Multiple (LCM) of 55376 and 55382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55376 and 55382. First we will calculate the prime factors of 55376 and 55382.

Prime Factorization of 55376

Prime Factorization of 55382

Now multiplying the highest exponent prime factors to calculate the LCM of 55376 and 55382.

LCM(55376,55382) = 2⁴ × 3461¹ × 27691¹
LCM(55376,55382) = 1533416816