What is the Least Common Multiple of 67170 and 67176?

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 67170 and 67176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67170 and 67176, than apply into the LCM equation.

GCF(67170,67176) = 6
LCM(67170,67176) = ( 67170 × 67176) / 6
LCM(67170,67176) = 4512211920 / 6
LCM(67170,67176) = 752035320

Least Common Multiple (LCM) of 67170 and 67176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67170 and 67176. First we will calculate the prime factors of 67170 and 67176.

Prime Factorization of 67170

Prime Factorization of 67176

Now multiplying the highest exponent prime factors to calculate the LCM of 67170 and 67176.

LCM(67170,67176) = 2³ × 3³ × 5¹ × 2239¹ × 311¹
LCM(67170,67176) = 752035320