What is the Least Common Multiple of 14144 and 14157?

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 14157 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 14157, than apply into the LCM equation.

GCF(14144,14157) = 13
LCM(14144,14157) = ( 14144 × 14157) / 13
LCM(14144,14157) = 200236608 / 13
LCM(14144,14157) = 15402816

Least Common Multiple (LCM) of 14144 and 14157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14144 and 14157. First we will calculate the prime factors of 14144 and 14157.

Prime Factorization of 14144

Prime Factorization of 14157

Now multiplying the highest exponent prime factors to calculate the LCM of 14144 and 14157.

LCM(14144,14157) = 2⁶ × 13¹ × 17¹ × 3² × 11²
LCM(14144,14157) = 15402816