What is the Least Common Multiple of 60628 and 60633?

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 60633 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 60633, than apply into the LCM equation.

GCF(60628,60633) = 1
LCM(60628,60633) = ( 60628 × 60633) / 1
LCM(60628,60633) = 3676057524 / 1
LCM(60628,60633) = 3676057524

Least Common Multiple (LCM) of 60628 and 60633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60628 and 60633. First we will calculate the prime factors of 60628 and 60633.

Prime Factorization of 60628

Prime Factorization of 60633

Now multiplying the highest exponent prime factors to calculate the LCM of 60628 and 60633.

LCM(60628,60633) = 2² × 23¹ × 659¹ × 3² × 6737¹
LCM(60628,60633) = 3676057524