What is the Least Common Multiple of 67315 and 67335?

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 67315 and 67335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67315 and 67335, than apply into the LCM equation.

GCF(67315,67335) = 5
LCM(67315,67335) = ( 67315 × 67335) / 5
LCM(67315,67335) = 4532655525 / 5
LCM(67315,67335) = 906531105

Least Common Multiple (LCM) of 67315 and 67335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67315 and 67335. First we will calculate the prime factors of 67315 and 67335.

Prime Factorization of 67315

Prime Factorization of 67335

Now multiplying the highest exponent prime factors to calculate the LCM of 67315 and 67335.

LCM(67315,67335) = 5¹ × 13463¹ × 3¹ × 67²
LCM(67315,67335) = 906531105