What is the Least Common Multiple of 41136 and 41151?

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 41136 and 41151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41136 and 41151, than apply into the LCM equation.

GCF(41136,41151) = 3
LCM(41136,41151) = ( 41136 × 41151) / 3
LCM(41136,41151) = 1692787536 / 3
LCM(41136,41151) = 564262512

Least Common Multiple (LCM) of 41136 and 41151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41136 and 41151. First we will calculate the prime factors of 41136 and 41151.

Prime Factorization of 41136

Prime Factorization of 41151

Now multiplying the highest exponent prime factors to calculate the LCM of 41136 and 41151.

LCM(41136,41151) = 2⁴ × 3¹ × 857¹ × 11¹ × 29¹ × 43¹
LCM(41136,41151) = 564262512