What is the Least Common Multiple of 40144 and 40160?

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 40144 and 40160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40144 and 40160, than apply into the LCM equation.

GCF(40144,40160) = 16
LCM(40144,40160) = ( 40144 × 40160) / 16
LCM(40144,40160) = 1612183040 / 16
LCM(40144,40160) = 100761440

Least Common Multiple (LCM) of 40144 and 40160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40144 and 40160. First we will calculate the prime factors of 40144 and 40160.

Prime Factorization of 40144

Prime Factorization of 40160

Now multiplying the highest exponent prime factors to calculate the LCM of 40144 and 40160.

LCM(40144,40160) = 2⁵ × 13¹ × 193¹ × 5¹ × 251¹
LCM(40144,40160) = 100761440