What is the Least Common Multiple of 14140 and 14144?

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 14140 and 14144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14140 and 14144, than apply into the LCM equation.

GCF(14140,14144) = 4
LCM(14140,14144) = ( 14140 × 14144) / 4
LCM(14140,14144) = 199996160 / 4
LCM(14140,14144) = 49999040

Least Common Multiple (LCM) of 14140 and 14144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14140 and 14144. First we will calculate the prime factors of 14140 and 14144.

Prime Factorization of 14140

Prime Factorization of 14144

Now multiplying the highest exponent prime factors to calculate the LCM of 14140 and 14144.

LCM(14140,14144) = 2⁶ × 5¹ × 7¹ × 101¹ × 13¹ × 17¹
LCM(14140,14144) = 49999040