What is the Least Common Multiple of 47830 and 47850?

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 47830 and 47850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47830 and 47850, than apply into the LCM equation.

GCF(47830,47850) = 10
LCM(47830,47850) = ( 47830 × 47850) / 10
LCM(47830,47850) = 2288665500 / 10
LCM(47830,47850) = 228866550

Least Common Multiple (LCM) of 47830 and 47850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47830 and 47850. First we will calculate the prime factors of 47830 and 47850.

Prime Factorization of 47830

Prime Factorization of 47850

Now multiplying the highest exponent prime factors to calculate the LCM of 47830 and 47850.

LCM(47830,47850) = 2¹ × 5² × 4783¹ × 3¹ × 11¹ × 29¹
LCM(47830,47850) = 228866550