What is the Least Common Multiple of 12140 and 12160?

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 12140 and 12160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12140 and 12160, than apply into the LCM equation.

GCF(12140,12160) = 20
LCM(12140,12160) = ( 12140 × 12160) / 20
LCM(12140,12160) = 147622400 / 20
LCM(12140,12160) = 7381120

Least Common Multiple (LCM) of 12140 and 12160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12140 and 12160. First we will calculate the prime factors of 12140 and 12160.

Prime Factorization of 12140

Prime Factorization of 12160

Now multiplying the highest exponent prime factors to calculate the LCM of 12140 and 12160.

LCM(12140,12160) = 2⁷ × 5¹ × 607¹ × 19¹
LCM(12140,12160) = 7381120