What is the Least Common Multiple of 47740 and 47748?

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 47740 and 47748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47740 and 47748, than apply into the LCM equation.

GCF(47740,47748) = 4
LCM(47740,47748) = ( 47740 × 47748) / 4
LCM(47740,47748) = 2279489520 / 4
LCM(47740,47748) = 569872380

Least Common Multiple (LCM) of 47740 and 47748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47740 and 47748. First we will calculate the prime factors of 47740 and 47748.

Prime Factorization of 47740

Prime Factorization of 47748

Now multiplying the highest exponent prime factors to calculate the LCM of 47740 and 47748.

LCM(47740,47748) = 2² × 5¹ × 7¹ × 11¹ × 31¹ × 3¹ × 23¹ × 173¹
LCM(47740,47748) = 569872380