What is the Least Common Multiple of 75150 and 75170?

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 75150 and 75170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75150 and 75170, than apply into the LCM equation.

GCF(75150,75170) = 10
LCM(75150,75170) = ( 75150 × 75170) / 10
LCM(75150,75170) = 5649025500 / 10
LCM(75150,75170) = 564902550

Least Common Multiple (LCM) of 75150 and 75170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75150 and 75170. First we will calculate the prime factors of 75150 and 75170.

Prime Factorization of 75150

Prime Factorization of 75170

Now multiplying the highest exponent prime factors to calculate the LCM of 75150 and 75170.

LCM(75150,75170) = 2¹ × 3² × 5² × 167¹ × 7517¹
LCM(75150,75170) = 564902550