What is the Least Common Multiple of 55792 and 55805?

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 55792 and 55805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55792 and 55805, than apply into the LCM equation.

GCF(55792,55805) = 1
LCM(55792,55805) = ( 55792 × 55805) / 1
LCM(55792,55805) = 3113472560 / 1
LCM(55792,55805) = 3113472560

Least Common Multiple (LCM) of 55792 and 55805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55792 and 55805. First we will calculate the prime factors of 55792 and 55805.

Prime Factorization of 55792

Prime Factorization of 55805

Now multiplying the highest exponent prime factors to calculate the LCM of 55792 and 55805.

LCM(55792,55805) = 2⁴ × 11¹ × 317¹ × 5¹ × 11161¹
LCM(55792,55805) = 3113472560