What is the Least Common Multiple of 58635 and 58650?

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 58635 and 58650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58635 and 58650, than apply into the LCM equation.

GCF(58635,58650) = 15
LCM(58635,58650) = ( 58635 × 58650) / 15
LCM(58635,58650) = 3438942750 / 15
LCM(58635,58650) = 229262850

Least Common Multiple (LCM) of 58635 and 58650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58635 and 58650. First we will calculate the prime factors of 58635 and 58650.

Prime Factorization of 58635

Prime Factorization of 58650

Now multiplying the highest exponent prime factors to calculate the LCM of 58635 and 58650.

LCM(58635,58650) = 3² × 5² × 1303¹ × 2¹ × 17¹ × 23¹
LCM(58635,58650) = 229262850