What is the Least Common Multiple of 47728 and 47742?

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 47742 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 47742, than apply into the LCM equation.

GCF(47728,47742) = 2
LCM(47728,47742) = ( 47728 × 47742) / 2
LCM(47728,47742) = 2278630176 / 2
LCM(47728,47742) = 1139315088

Least Common Multiple (LCM) of 47728 and 47742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47728 and 47742. First we will calculate the prime factors of 47728 and 47742.

Prime Factorization of 47728

Prime Factorization of 47742

Now multiplying the highest exponent prime factors to calculate the LCM of 47728 and 47742.

LCM(47728,47742) = 2⁴ × 19¹ × 157¹ × 3¹ × 73¹ × 109¹
LCM(47728,47742) = 1139315088