What is the Least Common Multiple of 67380 and 67384?

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 67380 and 67384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67380 and 67384, than apply into the LCM equation.

GCF(67380,67384) = 4
LCM(67380,67384) = ( 67380 × 67384) / 4
LCM(67380,67384) = 4540333920 / 4
LCM(67380,67384) = 1135083480

Least Common Multiple (LCM) of 67380 and 67384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67380 and 67384. First we will calculate the prime factors of 67380 and 67384.

Prime Factorization of 67380

Prime Factorization of 67384

Now multiplying the highest exponent prime factors to calculate the LCM of 67380 and 67384.

LCM(67380,67384) = 2³ × 3¹ × 5¹ × 1123¹ × 8423¹
LCM(67380,67384) = 1135083480