What is the Least Common Multiple of 60170 and 60178?

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 60170 and 60178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60170 and 60178, than apply into the LCM equation.

GCF(60170,60178) = 2
LCM(60170,60178) = ( 60170 × 60178) / 2
LCM(60170,60178) = 3620910260 / 2
LCM(60170,60178) = 1810455130

Least Common Multiple (LCM) of 60170 and 60178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60170 and 60178. First we will calculate the prime factors of 60170 and 60178.

Prime Factorization of 60170

Prime Factorization of 60178

Now multiplying the highest exponent prime factors to calculate the LCM of 60170 and 60178.

LCM(60170,60178) = 2¹ × 5¹ × 11¹ × 547¹ × 30089¹
LCM(60170,60178) = 1810455130