What is the Least Common Multiple of 47841 and 47861?

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 47841 and 47861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47841 and 47861, than apply into the LCM equation.

GCF(47841,47861) = 1
LCM(47841,47861) = ( 47841 × 47861) / 1
LCM(47841,47861) = 2289718101 / 1
LCM(47841,47861) = 2289718101

Least Common Multiple (LCM) of 47841 and 47861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47841 and 47861. First we will calculate the prime factors of 47841 and 47861.

Prime Factorization of 47841

Prime Factorization of 47861

Now multiplying the highest exponent prime factors to calculate the LCM of 47841 and 47861.

LCM(47841,47861) = 3¹ × 37¹ × 431¹ × 11¹ × 19¹ × 229¹
LCM(47841,47861) = 2289718101