What is the Least Common Multiple of 47388 and 47398?

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 47388 and 47398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47388 and 47398, than apply into the LCM equation.

GCF(47388,47398) = 2
LCM(47388,47398) = ( 47388 × 47398) / 2
LCM(47388,47398) = 2246096424 / 2
LCM(47388,47398) = 1123048212

Least Common Multiple (LCM) of 47388 and 47398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47388 and 47398. First we will calculate the prime factors of 47388 and 47398.

Prime Factorization of 47388

Prime Factorization of 47398

Now multiplying the highest exponent prime factors to calculate the LCM of 47388 and 47398.

LCM(47388,47398) = 2² × 3¹ × 11¹ × 359¹ × 13¹ × 1823¹
LCM(47388,47398) = 1123048212