What is the Least Common Multiple of 30150 and 30170?

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 30150 and 30170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30150 and 30170, than apply into the LCM equation.

GCF(30150,30170) = 10
LCM(30150,30170) = ( 30150 × 30170) / 10
LCM(30150,30170) = 909625500 / 10
LCM(30150,30170) = 90962550

Least Common Multiple (LCM) of 30150 and 30170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30150 and 30170. First we will calculate the prime factors of 30150 and 30170.

Prime Factorization of 30150

Prime Factorization of 30170

Now multiplying the highest exponent prime factors to calculate the LCM of 30150 and 30170.

LCM(30150,30170) = 2¹ × 3² × 5² × 67¹ × 7¹ × 431¹
LCM(30150,30170) = 90962550