What is the Least Common Multiple of 67384 and 67398?

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 67384 and 67398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67384 and 67398, than apply into the LCM equation.

GCF(67384,67398) = 2
LCM(67384,67398) = ( 67384 × 67398) / 2
LCM(67384,67398) = 4541546832 / 2
LCM(67384,67398) = 2270773416

Least Common Multiple (LCM) of 67384 and 67398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67384 and 67398. First we will calculate the prime factors of 67384 and 67398.

Prime Factorization of 67384

Prime Factorization of 67398

Now multiplying the highest exponent prime factors to calculate the LCM of 67384 and 67398.

LCM(67384,67398) = 2³ × 8423¹ × 3¹ × 47¹ × 239¹
LCM(67384,67398) = 2270773416