What is the Least Common Multiple of 40635 and 40647?

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 40635 and 40647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40635 and 40647, than apply into the LCM equation.

GCF(40635,40647) = 3
LCM(40635,40647) = ( 40635 × 40647) / 3
LCM(40635,40647) = 1651690845 / 3
LCM(40635,40647) = 550563615

Least Common Multiple (LCM) of 40635 and 40647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40635 and 40647. First we will calculate the prime factors of 40635 and 40647.

Prime Factorization of 40635

Prime Factorization of 40647

Now multiplying the highest exponent prime factors to calculate the LCM of 40635 and 40647.

LCM(40635,40647) = 3³ × 5¹ × 7¹ × 43¹ × 17¹ × 797¹
LCM(40635,40647) = 550563615