What is the Least Common Multiple of 58155 and 58170?

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 58155 and 58170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58155 and 58170, than apply into the LCM equation.

GCF(58155,58170) = 15
LCM(58155,58170) = ( 58155 × 58170) / 15
LCM(58155,58170) = 3382876350 / 15
LCM(58155,58170) = 225525090

Least Common Multiple (LCM) of 58155 and 58170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58155 and 58170. First we will calculate the prime factors of 58155 and 58170.

Prime Factorization of 58155

Prime Factorization of 58170

Now multiplying the highest exponent prime factors to calculate the LCM of 58155 and 58170.

LCM(58155,58170) = 3¹ × 5¹ × 3877¹ × 2¹ × 7¹ × 277¹
LCM(58155,58170) = 225525090