What is the Least Common Multiple of 51170 and 51186?

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 51170 and 51186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51170 and 51186, than apply into the LCM equation.

GCF(51170,51186) = 2
LCM(51170,51186) = ( 51170 × 51186) / 2
LCM(51170,51186) = 2619187620 / 2
LCM(51170,51186) = 1309593810

Least Common Multiple (LCM) of 51170 and 51186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51170 and 51186. First we will calculate the prime factors of 51170 and 51186.

Prime Factorization of 51170

Prime Factorization of 51186

Now multiplying the highest exponent prime factors to calculate the LCM of 51170 and 51186.

LCM(51170,51186) = 2¹ × 5¹ × 7¹ × 17¹ × 43¹ × 3¹ × 19¹ × 449¹
LCM(51170,51186) = 1309593810