What is the Least Common Multiple of 12140 and 12147?

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 12147 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 12147, than apply into the LCM equation.

GCF(12140,12147) = 1
LCM(12140,12147) = ( 12140 × 12147) / 1
LCM(12140,12147) = 147464580 / 1
LCM(12140,12147) = 147464580

Least Common Multiple (LCM) of 12140 and 12147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12140 and 12147. First we will calculate the prime factors of 12140 and 12147.

Prime Factorization of 12140

Prime Factorization of 12147

Now multiplying the highest exponent prime factors to calculate the LCM of 12140 and 12147.

LCM(12140,12147) = 2² × 5¹ × 607¹ × 3¹ × 4049¹
LCM(12140,12147) = 147464580