What is the Least Common Multiple of 67335 and 67341?

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 67341 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 67341, than apply into the LCM equation.

GCF(67335,67341) = 3
LCM(67335,67341) = ( 67335 × 67341) / 3
LCM(67335,67341) = 4534406235 / 3
LCM(67335,67341) = 1511468745

Least Common Multiple (LCM) of 67335 and 67341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67335 and 67341. First we will calculate the prime factors of 67335 and 67341.

Prime Factorization of 67335

Prime Factorization of 67341

Now multiplying the highest exponent prime factors to calculate the LCM of 67335 and 67341.

LCM(67335,67341) = 3¹ × 5¹ × 67² × 22447¹
LCM(67335,67341) = 1511468745