What is the Least Common Multiple of 47724 and 47738?

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 47724 and 47738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47724 and 47738, than apply into the LCM equation.

GCF(47724,47738) = 2
LCM(47724,47738) = ( 47724 × 47738) / 2
LCM(47724,47738) = 2278248312 / 2
LCM(47724,47738) = 1139124156

Least Common Multiple (LCM) of 47724 and 47738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47724 and 47738. First we will calculate the prime factors of 47724 and 47738.

Prime Factorization of 47724

Prime Factorization of 47738

Now multiplying the highest exponent prime factors to calculate the LCM of 47724 and 47738.

LCM(47724,47738) = 2² × 3¹ × 41¹ × 97¹ × 23869¹
LCM(47724,47738) = 1139124156