What is the Least Common Multiple of 40916 and 40933?

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 40916 and 40933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40916 and 40933, than apply into the LCM equation.

GCF(40916,40933) = 1
LCM(40916,40933) = ( 40916 × 40933) / 1
LCM(40916,40933) = 1674814628 / 1
LCM(40916,40933) = 1674814628

Least Common Multiple (LCM) of 40916 and 40933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40916 and 40933. First we will calculate the prime factors of 40916 and 40933.

Prime Factorization of 40916

Prime Factorization of 40933

Now multiplying the highest exponent prime factors to calculate the LCM of 40916 and 40933.

LCM(40916,40933) = 2² × 53¹ × 193¹ × 40933¹
LCM(40916,40933) = 1674814628