What is the Least Common Multiple of 14144 and 14159?

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 14159 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 14159, than apply into the LCM equation.

GCF(14144,14159) = 1
LCM(14144,14159) = ( 14144 × 14159) / 1
LCM(14144,14159) = 200264896 / 1
LCM(14144,14159) = 200264896

Least Common Multiple (LCM) of 14144 and 14159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14144 and 14159. First we will calculate the prime factors of 14144 and 14159.

Prime Factorization of 14144

Prime Factorization of 14159

Now multiplying the highest exponent prime factors to calculate the LCM of 14144 and 14159.

LCM(14144,14159) = 2⁶ × 13¹ × 17¹ × 14159¹
LCM(14144,14159) = 200264896