What is the Least Common Multiple of 40350 and 40365?

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 40350 and 40365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40350 and 40365, than apply into the LCM equation.

GCF(40350,40365) = 15
LCM(40350,40365) = ( 40350 × 40365) / 15
LCM(40350,40365) = 1628727750 / 15
LCM(40350,40365) = 108581850

Least Common Multiple (LCM) of 40350 and 40365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40350 and 40365. First we will calculate the prime factors of 40350 and 40365.

Prime Factorization of 40350

Prime Factorization of 40365

Now multiplying the highest exponent prime factors to calculate the LCM of 40350 and 40365.

LCM(40350,40365) = 2¹ × 3³ × 5² × 269¹ × 13¹ × 23¹
LCM(40350,40365) = 108581850