What is the Least Common Multiple of 67140 and 67146?

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 67140 and 67146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67140 and 67146, than apply into the LCM equation.

GCF(67140,67146) = 6
LCM(67140,67146) = ( 67140 × 67146) / 6
LCM(67140,67146) = 4508182440 / 6
LCM(67140,67146) = 751363740

Least Common Multiple (LCM) of 67140 and 67146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67140 and 67146. First we will calculate the prime factors of 67140 and 67146.

Prime Factorization of 67140

Prime Factorization of 67146

Now multiplying the highest exponent prime factors to calculate the LCM of 67140 and 67146.

LCM(67140,67146) = 2² × 3² × 5¹ × 373¹ × 19² × 31¹
LCM(67140,67146) = 751363740