What is the Least Common Multiple of 36144 and 36160?

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 36144 and 36160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36144 and 36160, than apply into the LCM equation.

GCF(36144,36160) = 16
LCM(36144,36160) = ( 36144 × 36160) / 16
LCM(36144,36160) = 1306967040 / 16
LCM(36144,36160) = 81685440

Least Common Multiple (LCM) of 36144 and 36160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36144 and 36160. First we will calculate the prime factors of 36144 and 36160.

Prime Factorization of 36144

Prime Factorization of 36160

Now multiplying the highest exponent prime factors to calculate the LCM of 36144 and 36160.

LCM(36144,36160) = 2⁶ × 3² × 251¹ × 5¹ × 113¹
LCM(36144,36160) = 81685440