What is the Least Common Multiple of 36144 and 36158?

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 36158 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 36158, than apply into the LCM equation.

GCF(36144,36158) = 2
LCM(36144,36158) = ( 36144 × 36158) / 2
LCM(36144,36158) = 1306894752 / 2
LCM(36144,36158) = 653447376

Least Common Multiple (LCM) of 36144 and 36158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36144 and 36158. First we will calculate the prime factors of 36144 and 36158.

Prime Factorization of 36144

Prime Factorization of 36158

Now multiplying the highest exponent prime factors to calculate the LCM of 36144 and 36158.

LCM(36144,36158) = 2⁴ × 3² × 251¹ × 101¹ × 179¹
LCM(36144,36158) = 653447376