What is the Least Common Multiple of 48396 and 48401?

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 48396 and 48401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48396 and 48401, than apply into the LCM equation.

GCF(48396,48401) = 1
LCM(48396,48401) = ( 48396 × 48401) / 1
LCM(48396,48401) = 2342414796 / 1
LCM(48396,48401) = 2342414796

Least Common Multiple (LCM) of 48396 and 48401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48396 and 48401. First we will calculate the prime factors of 48396 and 48401.

Prime Factorization of 48396

Prime Factorization of 48401

Now multiplying the highest exponent prime factors to calculate the LCM of 48396 and 48401.

LCM(48396,48401) = 2² × 3¹ × 37¹ × 109¹ × 29¹ × 1669¹
LCM(48396,48401) = 2342414796