What is the Least Common Multiple of 47380 and 47388?

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 47380 and 47388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47380 and 47388, than apply into the LCM equation.

GCF(47380,47388) = 4
LCM(47380,47388) = ( 47380 × 47388) / 4
LCM(47380,47388) = 2245243440 / 4
LCM(47380,47388) = 561310860

Least Common Multiple (LCM) of 47380 and 47388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47380 and 47388. First we will calculate the prime factors of 47380 and 47388.

Prime Factorization of 47380

Prime Factorization of 47388

Now multiplying the highest exponent prime factors to calculate the LCM of 47380 and 47388.

LCM(47380,47388) = 2² × 5¹ × 23¹ × 103¹ × 3¹ × 11¹ × 359¹
LCM(47380,47388) = 561310860