What is the Least Common Multiple of 55712 and 55731?

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 55712 and 55731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55712 and 55731, than apply into the LCM equation.

GCF(55712,55731) = 1
LCM(55712,55731) = ( 55712 × 55731) / 1
LCM(55712,55731) = 3104885472 / 1
LCM(55712,55731) = 3104885472

Least Common Multiple (LCM) of 55712 and 55731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55712 and 55731. First we will calculate the prime factors of 55712 and 55731.

Prime Factorization of 55712

Prime Factorization of 55731

Now multiplying the highest exponent prime factors to calculate the LCM of 55712 and 55731.

LCM(55712,55731) = 2⁵ × 1741¹ × 3¹ × 13¹ × 1429¹
LCM(55712,55731) = 3104885472