What is the Least Common Multiple of 58650 and 58655?

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 58650 and 58655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58650 and 58655, than apply into the LCM equation.

GCF(58650,58655) = 5
LCM(58650,58655) = ( 58650 × 58655) / 5
LCM(58650,58655) = 3440115750 / 5
LCM(58650,58655) = 688023150

Least Common Multiple (LCM) of 58650 and 58655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58650 and 58655. First we will calculate the prime factors of 58650 and 58655.

Prime Factorization of 58650

Prime Factorization of 58655

Now multiplying the highest exponent prime factors to calculate the LCM of 58650 and 58655.

LCM(58650,58655) = 2¹ × 3¹ × 5² × 17¹ × 23¹ × 11731¹
LCM(58650,58655) = 688023150