What is the Least Common Multiple of 14120 and 14140?

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 14120 and 14140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14120 and 14140, than apply into the LCM equation.

GCF(14120,14140) = 20
LCM(14120,14140) = ( 14120 × 14140) / 20
LCM(14120,14140) = 199656800 / 20
LCM(14120,14140) = 9982840

Least Common Multiple (LCM) of 14120 and 14140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14120 and 14140. First we will calculate the prime factors of 14120 and 14140.

Prime Factorization of 14120

Prime Factorization of 14140

Now multiplying the highest exponent prime factors to calculate the LCM of 14120 and 14140.

LCM(14120,14140) = 2³ × 5¹ × 353¹ × 7¹ × 101¹
LCM(14120,14140) = 9982840