What is the Least Common Multiple of 47634 and 47649?

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 47634 and 47649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47634 and 47649, than apply into the LCM equation.

GCF(47634,47649) = 3
LCM(47634,47649) = ( 47634 × 47649) / 3
LCM(47634,47649) = 2269712466 / 3
LCM(47634,47649) = 756570822

Least Common Multiple (LCM) of 47634 and 47649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47634 and 47649. First we will calculate the prime factors of 47634 and 47649.

Prime Factorization of 47634

Prime Factorization of 47649

Now multiplying the highest exponent prime factors to calculate the LCM of 47634 and 47649.

LCM(47634,47649) = 2¹ × 3¹ × 17¹ × 467¹ × 7¹ × 2269¹
LCM(47634,47649) = 756570822