What is the Least Common Multiple of 48414 and 48421?

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 48414 and 48421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48414 and 48421, than apply into the LCM equation.

GCF(48414,48421) = 1
LCM(48414,48421) = ( 48414 × 48421) / 1
LCM(48414,48421) = 2344254294 / 1
LCM(48414,48421) = 2344254294

Least Common Multiple (LCM) of 48414 and 48421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48414 and 48421. First we will calculate the prime factors of 48414 and 48421.

Prime Factorization of 48414

Prime Factorization of 48421

Now multiplying the highest exponent prime factors to calculate the LCM of 48414 and 48421.

LCM(48414,48421) = 2¹ × 3¹ × 8069¹ × 41¹ × 1181¹
LCM(48414,48421) = 2344254294