What is the Least Common Multiple of 58647 and 58652?

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 58647 and 58652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58647 and 58652, than apply into the LCM equation.

GCF(58647,58652) = 1
LCM(58647,58652) = ( 58647 × 58652) / 1
LCM(58647,58652) = 3439763844 / 1
LCM(58647,58652) = 3439763844

Least Common Multiple (LCM) of 58647 and 58652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58647 and 58652. First we will calculate the prime factors of 58647 and 58652.

Prime Factorization of 58647

Prime Factorization of 58652

Now multiplying the highest exponent prime factors to calculate the LCM of 58647 and 58652.

LCM(58647,58652) = 3¹ × 113¹ × 173¹ × 2² × 11¹ × 31¹ × 43¹
LCM(58647,58652) = 3439763844