What is the Least Common Multiple of 55646 and 55651?

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 55646 and 55651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55646 and 55651, than apply into the LCM equation.

GCF(55646,55651) = 1
LCM(55646,55651) = ( 55646 × 55651) / 1
LCM(55646,55651) = 3096755546 / 1
LCM(55646,55651) = 3096755546

Least Common Multiple (LCM) of 55646 and 55651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55646 and 55651. First we will calculate the prime factors of 55646 and 55651.

Prime Factorization of 55646

Prime Factorization of 55651

Now multiplying the highest exponent prime factors to calculate the LCM of 55646 and 55651.

LCM(55646,55651) = 2¹ × 27823¹ × 19¹ × 29¹ × 101¹
LCM(55646,55651) = 3096755546