What is the Least Common Multiple of 60075 and 60085?

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 60075 and 60085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60075 and 60085, than apply into the LCM equation.

GCF(60075,60085) = 5
LCM(60075,60085) = ( 60075 × 60085) / 5
LCM(60075,60085) = 3609606375 / 5
LCM(60075,60085) = 721921275

Least Common Multiple (LCM) of 60075 and 60085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60075 and 60085. First we will calculate the prime factors of 60075 and 60085.

Prime Factorization of 60075

Prime Factorization of 60085

Now multiplying the highest exponent prime factors to calculate the LCM of 60075 and 60085.

LCM(60075,60085) = 3³ × 5² × 89¹ × 61¹ × 197¹
LCM(60075,60085) = 721921275