What is the Least Common Multiple of 48396 and 48404?

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 48404 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 48404, than apply into the LCM equation.

GCF(48396,48404) = 4
LCM(48396,48404) = ( 48396 × 48404) / 4
LCM(48396,48404) = 2342559984 / 4
LCM(48396,48404) = 585639996

Least Common Multiple (LCM) of 48396 and 48404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48396 and 48404. First we will calculate the prime factors of 48396 and 48404.

Prime Factorization of 48396

Prime Factorization of 48404

Now multiplying the highest exponent prime factors to calculate the LCM of 48396 and 48404.

LCM(48396,48404) = 2² × 3¹ × 37¹ × 109¹ × 12101¹
LCM(48396,48404) = 585639996