What is the Least Common Multiple of 40365 and 40378?

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 40365 and 40378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40365 and 40378, than apply into the LCM equation.

GCF(40365,40378) = 13
LCM(40365,40378) = ( 40365 × 40378) / 13
LCM(40365,40378) = 1629857970 / 13
LCM(40365,40378) = 125373690

Least Common Multiple (LCM) of 40365 and 40378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40365 and 40378. First we will calculate the prime factors of 40365 and 40378.

Prime Factorization of 40365

Prime Factorization of 40378

Now multiplying the highest exponent prime factors to calculate the LCM of 40365 and 40378.

LCM(40365,40378) = 3³ × 5¹ × 13¹ × 23¹ × 2¹ × 1553¹
LCM(40365,40378) = 125373690