What is the Least Common Multiple of 14144 and 14151?

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 14144 and 14151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14144 and 14151, than apply into the LCM equation.

GCF(14144,14151) = 1
LCM(14144,14151) = ( 14144 × 14151) / 1
LCM(14144,14151) = 200151744 / 1
LCM(14144,14151) = 200151744

Least Common Multiple (LCM) of 14144 and 14151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14144 and 14151. First we will calculate the prime factors of 14144 and 14151.

Prime Factorization of 14144

Prime Factorization of 14151

Now multiplying the highest exponent prime factors to calculate the LCM of 14144 and 14151.

LCM(14144,14151) = 2⁶ × 13¹ × 17¹ × 3¹ × 53¹ × 89¹
LCM(14144,14151) = 200151744