What is the Least Common Multiple of 67335 and 67343?

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 67335 and 67343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67335 and 67343, than apply into the LCM equation.

GCF(67335,67343) = 1
LCM(67335,67343) = ( 67335 × 67343) / 1
LCM(67335,67343) = 4534540905 / 1
LCM(67335,67343) = 4534540905

Least Common Multiple (LCM) of 67335 and 67343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67335 and 67343. First we will calculate the prime factors of 67335 and 67343.

Prime Factorization of 67335

Prime Factorization of 67343

Now multiplying the highest exponent prime factors to calculate the LCM of 67335 and 67343.

LCM(67335,67343) = 3¹ × 5¹ × 67² × 67343¹
LCM(67335,67343) = 4534540905