What is the Least Common Multiple of 60175 and 60195?

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 60175 and 60195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60175 and 60195, than apply into the LCM equation.

GCF(60175,60195) = 5
LCM(60175,60195) = ( 60175 × 60195) / 5
LCM(60175,60195) = 3622234125 / 5
LCM(60175,60195) = 724446825

Least Common Multiple (LCM) of 60175 and 60195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60175 and 60195. First we will calculate the prime factors of 60175 and 60195.

Prime Factorization of 60175

Prime Factorization of 60195

Now multiplying the highest exponent prime factors to calculate the LCM of 60175 and 60195.

LCM(60175,60195) = 5² × 29¹ × 83¹ × 3¹ × 4013¹
LCM(60175,60195) = 724446825