What is the Least Common Multiple of 68124 and 68140?

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 68124 and 68140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68124 and 68140, than apply into the LCM equation.

GCF(68124,68140) = 4
LCM(68124,68140) = ( 68124 × 68140) / 4
LCM(68124,68140) = 4641969360 / 4
LCM(68124,68140) = 1160492340

Least Common Multiple (LCM) of 68124 and 68140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68124 and 68140. First we will calculate the prime factors of 68124 and 68140.

Prime Factorization of 68124

Prime Factorization of 68140

Now multiplying the highest exponent prime factors to calculate the LCM of 68124 and 68140.

LCM(68124,68140) = 2² × 3¹ × 7¹ × 811¹ × 5¹ × 3407¹
LCM(68124,68140) = 1160492340