What is the Least Common Multiple of 47748 and 47759?

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 47748 and 47759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47748 and 47759, than apply into the LCM equation.

GCF(47748,47759) = 1
LCM(47748,47759) = ( 47748 × 47759) / 1
LCM(47748,47759) = 2280396732 / 1
LCM(47748,47759) = 2280396732

Least Common Multiple (LCM) of 47748 and 47759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47748 and 47759. First we will calculate the prime factors of 47748 and 47759.

Prime Factorization of 47748

Prime Factorization of 47759

Now multiplying the highest exponent prime factors to calculate the LCM of 47748 and 47759.

LCM(47748,47759) = 2² × 3¹ × 23¹ × 173¹ × 163¹ × 293¹
LCM(47748,47759) = 2280396732