What is the Least Common Multiple of 60165 and 60172?

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 60165 and 60172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60165 and 60172, than apply into the LCM equation.

GCF(60165,60172) = 7
LCM(60165,60172) = ( 60165 × 60172) / 7
LCM(60165,60172) = 3620248380 / 7
LCM(60165,60172) = 517178340

Least Common Multiple (LCM) of 60165 and 60172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60165 and 60172. First we will calculate the prime factors of 60165 and 60172.

Prime Factorization of 60165

Prime Factorization of 60172

Now multiplying the highest exponent prime factors to calculate the LCM of 60165 and 60172.

LCM(60165,60172) = 3² × 5¹ × 7² × 191¹ × 2² × 307¹
LCM(60165,60172) = 517178340