What is the Least Common Multiple of 47823 and 47842?

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 47823 and 47842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47823 and 47842, than apply into the LCM equation.

GCF(47823,47842) = 19
LCM(47823,47842) = ( 47823 × 47842) / 19
LCM(47823,47842) = 2287947966 / 19
LCM(47823,47842) = 120418314

Least Common Multiple (LCM) of 47823 and 47842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47823 and 47842. First we will calculate the prime factors of 47823 and 47842.

Prime Factorization of 47823

Prime Factorization of 47842

Now multiplying the highest exponent prime factors to calculate the LCM of 47823 and 47842.

LCM(47823,47842) = 3¹ × 19¹ × 839¹ × 2¹ × 1259¹
LCM(47823,47842) = 120418314