What is the Least Common Multiple of 60150 and 60170?

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 60150 and 60170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60150 and 60170, than apply into the LCM equation.

GCF(60150,60170) = 10
LCM(60150,60170) = ( 60150 × 60170) / 10
LCM(60150,60170) = 3619225500 / 10
LCM(60150,60170) = 361922550

Least Common Multiple (LCM) of 60150 and 60170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60150 and 60170. First we will calculate the prime factors of 60150 and 60170.

Prime Factorization of 60150

Prime Factorization of 60170

Now multiplying the highest exponent prime factors to calculate the LCM of 60150 and 60170.

LCM(60150,60170) = 2¹ × 3¹ × 5² × 401¹ × 11¹ × 547¹
LCM(60150,60170) = 361922550