What is the Least Common Multiple of 60171 and 60182?

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 60171 and 60182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60171 and 60182, than apply into the LCM equation.

GCF(60171,60182) = 1
LCM(60171,60182) = ( 60171 × 60182) / 1
LCM(60171,60182) = 3621211122 / 1
LCM(60171,60182) = 3621211122

Least Common Multiple (LCM) of 60171 and 60182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60171 and 60182. First we will calculate the prime factors of 60171 and 60182.

Prime Factorization of 60171

Prime Factorization of 60182

Now multiplying the highest exponent prime factors to calculate the LCM of 60171 and 60182.

LCM(60171,60182) = 3¹ × 31¹ × 647¹ × 2¹ × 30091¹
LCM(60171,60182) = 3621211122