What is the Least Common Multiple of 39633 and 39640?

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 39633 and 39640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39633 and 39640, than apply into the LCM equation.

GCF(39633,39640) = 1
LCM(39633,39640) = ( 39633 × 39640) / 1
LCM(39633,39640) = 1571052120 / 1
LCM(39633,39640) = 1571052120

Least Common Multiple (LCM) of 39633 and 39640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39633 and 39640. First we will calculate the prime factors of 39633 and 39640.

Prime Factorization of 39633

Prime Factorization of 39640

Now multiplying the highest exponent prime factors to calculate the LCM of 39633 and 39640.

LCM(39633,39640) = 3¹ × 11¹ × 1201¹ × 2³ × 5¹ × 991¹
LCM(39633,39640) = 1571052120