What is the Least Common Multiple of 40380 and 40398?

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 40380 and 40398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40380 and 40398, than apply into the LCM equation.

GCF(40380,40398) = 6
LCM(40380,40398) = ( 40380 × 40398) / 6
LCM(40380,40398) = 1631271240 / 6
LCM(40380,40398) = 271878540

Least Common Multiple (LCM) of 40380 and 40398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40380 and 40398. First we will calculate the prime factors of 40380 and 40398.

Prime Factorization of 40380

Prime Factorization of 40398

Now multiplying the highest exponent prime factors to calculate the LCM of 40380 and 40398.

LCM(40380,40398) = 2² × 3¹ × 5¹ × 673¹ × 6733¹
LCM(40380,40398) = 271878540