What is the Least Common Multiple of 47649 and 47660?

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 47649 and 47660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47649 and 47660, than apply into the LCM equation.

GCF(47649,47660) = 1
LCM(47649,47660) = ( 47649 × 47660) / 1
LCM(47649,47660) = 2270951340 / 1
LCM(47649,47660) = 2270951340

Least Common Multiple (LCM) of 47649 and 47660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47649 and 47660. First we will calculate the prime factors of 47649 and 47660.

Prime Factorization of 47649

Prime Factorization of 47660

Now multiplying the highest exponent prime factors to calculate the LCM of 47649 and 47660.

LCM(47649,47660) = 3¹ × 7¹ × 2269¹ × 2² × 5¹ × 2383¹
LCM(47649,47660) = 2270951340