What is the Least Common Multiple of 60628 and 60647?

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 60628 and 60647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60628 and 60647, than apply into the LCM equation.

GCF(60628,60647) = 1
LCM(60628,60647) = ( 60628 × 60647) / 1
LCM(60628,60647) = 3676906316 / 1
LCM(60628,60647) = 3676906316

Least Common Multiple (LCM) of 60628 and 60647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60628 and 60647. First we will calculate the prime factors of 60628 and 60647.

Prime Factorization of 60628

Prime Factorization of 60647

Now multiplying the highest exponent prime factors to calculate the LCM of 60628 and 60647.

LCM(60628,60647) = 2² × 23¹ × 659¹ × 60647¹
LCM(60628,60647) = 3676906316