What is the Least Common Multiple of 47728 and 47740?

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 47728 and 47740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47728 and 47740, than apply into the LCM equation.

GCF(47728,47740) = 4
LCM(47728,47740) = ( 47728 × 47740) / 4
LCM(47728,47740) = 2278534720 / 4
LCM(47728,47740) = 569633680

Least Common Multiple (LCM) of 47728 and 47740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47728 and 47740. First we will calculate the prime factors of 47728 and 47740.

Prime Factorization of 47728

Prime Factorization of 47740

Now multiplying the highest exponent prime factors to calculate the LCM of 47728 and 47740.

LCM(47728,47740) = 2⁴ × 19¹ × 157¹ × 5¹ × 7¹ × 11¹ × 31¹
LCM(47728,47740) = 569633680