What is the Least Common Multiple of 67338 and 67345?

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 67338 and 67345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67338 and 67345, than apply into the LCM equation.

GCF(67338,67345) = 1
LCM(67338,67345) = ( 67338 × 67345) / 1
LCM(67338,67345) = 4534877610 / 1
LCM(67338,67345) = 4534877610

Least Common Multiple (LCM) of 67338 and 67345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67338 and 67345. First we will calculate the prime factors of 67338 and 67345.

Prime Factorization of 67338

Prime Factorization of 67345

Now multiplying the highest exponent prime factors to calculate the LCM of 67338 and 67345.

LCM(67338,67345) = 2¹ × 3³ × 29¹ × 43¹ × 5¹ × 13469¹
LCM(67338,67345) = 4534877610