What is the Least Common Multiple of 43136 and 43149?

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 43136 and 43149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43136 and 43149, than apply into the LCM equation.

GCF(43136,43149) = 1
LCM(43136,43149) = ( 43136 × 43149) / 1
LCM(43136,43149) = 1861275264 / 1
LCM(43136,43149) = 1861275264

Least Common Multiple (LCM) of 43136 and 43149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43136 and 43149. First we will calculate the prime factors of 43136 and 43149.

Prime Factorization of 43136

Prime Factorization of 43149

Now multiplying the highest exponent prime factors to calculate the LCM of 43136 and 43149.

LCM(43136,43149) = 2⁷ × 337¹ × 3¹ × 19¹ × 757¹
LCM(43136,43149) = 1861275264