What is the Least Common Multiple of 67140 and 67148?

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 67148 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 67148, than apply into the LCM equation.

GCF(67140,67148) = 4
LCM(67140,67148) = ( 67140 × 67148) / 4
LCM(67140,67148) = 4508316720 / 4
LCM(67140,67148) = 1127079180

Least Common Multiple (LCM) of 67140 and 67148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67140 and 67148. First we will calculate the prime factors of 67140 and 67148.

Prime Factorization of 67140

Prime Factorization of 67148

Now multiplying the highest exponent prime factors to calculate the LCM of 67140 and 67148.

LCM(67140,67148) = 2² × 3² × 5¹ × 373¹ × 16787¹
LCM(67140,67148) = 1127079180