What is the Least Common Multiple of 47748 and 47754?

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 47754 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 47754, than apply into the LCM equation.

GCF(47748,47754) = 6
LCM(47748,47754) = ( 47748 × 47754) / 6
LCM(47748,47754) = 2280157992 / 6
LCM(47748,47754) = 380026332

Least Common Multiple (LCM) of 47748 and 47754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47748 and 47754. First we will calculate the prime factors of 47748 and 47754.

Prime Factorization of 47748

Prime Factorization of 47754

Now multiplying the highest exponent prime factors to calculate the LCM of 47748 and 47754.

LCM(47748,47754) = 2² × 3² × 23¹ × 173¹ × 7¹ × 379¹
LCM(47748,47754) = 380026332