What is the Least Common Multiple of 40068 and 40080?

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 40068 and 40080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40068 and 40080, than apply into the LCM equation.

GCF(40068,40080) = 12
LCM(40068,40080) = ( 40068 × 40080) / 12
LCM(40068,40080) = 1605925440 / 12
LCM(40068,40080) = 133827120

Least Common Multiple (LCM) of 40068 and 40080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40068 and 40080. First we will calculate the prime factors of 40068 and 40080.

Prime Factorization of 40068

Prime Factorization of 40080

Now multiplying the highest exponent prime factors to calculate the LCM of 40068 and 40080.

LCM(40068,40080) = 2⁴ × 3³ × 7¹ × 53¹ × 5¹ × 167¹
LCM(40068,40080) = 133827120