What is the Least Common Multiple of 40860 and 40872?

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 40860 and 40872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40860 and 40872, than apply into the LCM equation.

GCF(40860,40872) = 12
LCM(40860,40872) = ( 40860 × 40872) / 12
LCM(40860,40872) = 1670029920 / 12
LCM(40860,40872) = 139169160

Least Common Multiple (LCM) of 40860 and 40872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40860 and 40872. First we will calculate the prime factors of 40860 and 40872.

Prime Factorization of 40860

Prime Factorization of 40872

Now multiplying the highest exponent prime factors to calculate the LCM of 40860 and 40872.

LCM(40860,40872) = 2³ × 3² × 5¹ × 227¹ × 13¹ × 131¹
LCM(40860,40872) = 139169160