What is the Least Common Multiple of 67176 and 67184?

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 67176 and 67184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67176 and 67184, than apply into the LCM equation.

GCF(67176,67184) = 8
LCM(67176,67184) = ( 67176 × 67184) / 8
LCM(67176,67184) = 4513152384 / 8
LCM(67176,67184) = 564144048

Least Common Multiple (LCM) of 67176 and 67184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67176 and 67184. First we will calculate the prime factors of 67176 and 67184.

Prime Factorization of 67176

Prime Factorization of 67184

Now multiplying the highest exponent prime factors to calculate the LCM of 67176 and 67184.

LCM(67176,67184) = 2⁴ × 3³ × 311¹ × 13¹ × 17¹ × 19¹
LCM(67176,67184) = 564144048