What is the Least Common Multiple of 7380 and 7384?

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 7380 and 7384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7380 and 7384, than apply into the LCM equation.

GCF(7380,7384) = 4
LCM(7380,7384) = ( 7380 × 7384) / 4
LCM(7380,7384) = 54493920 / 4
LCM(7380,7384) = 13623480

Least Common Multiple (LCM) of 7380 and 7384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7380 and 7384. First we will calculate the prime factors of 7380 and 7384.

Prime Factorization of 7380

Prime Factorization of 7384

Now multiplying the highest exponent prime factors to calculate the LCM of 7380 and 7384.

LCM(7380,7384) = 2³ × 3² × 5¹ × 41¹ × 13¹ × 71¹
LCM(7380,7384) = 13623480