What is the Least Common Multiple of 37380 and 37384?

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 37380 and 37384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37380 and 37384, than apply into the LCM equation.

GCF(37380,37384) = 4
LCM(37380,37384) = ( 37380 × 37384) / 4
LCM(37380,37384) = 1397413920 / 4
LCM(37380,37384) = 349353480

Least Common Multiple (LCM) of 37380 and 37384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37380 and 37384. First we will calculate the prime factors of 37380 and 37384.

Prime Factorization of 37380

Prime Factorization of 37384

Now multiplying the highest exponent prime factors to calculate the LCM of 37380 and 37384.

LCM(37380,37384) = 2³ × 3¹ × 5¹ × 7¹ × 89¹ × 4673¹
LCM(37380,37384) = 349353480