What is the Least Common Multiple of 58650 and 58670?

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 58670 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 58670, than apply into the LCM equation.

GCF(58650,58670) = 10
LCM(58650,58670) = ( 58650 × 58670) / 10
LCM(58650,58670) = 3440995500 / 10
LCM(58650,58670) = 344099550

Least Common Multiple (LCM) of 58650 and 58670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58650 and 58670. First we will calculate the prime factors of 58650 and 58670.

Prime Factorization of 58650

Prime Factorization of 58670

Now multiplying the highest exponent prime factors to calculate the LCM of 58650 and 58670.

LCM(58650,58670) = 2¹ × 3¹ × 5² × 17¹ × 23¹ × 5867¹
LCM(58650,58670) = 344099550