What is the Least Common Multiple of 69342 and 69356?

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 69342 and 69356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69342 and 69356, than apply into the LCM equation.

GCF(69342,69356) = 14
LCM(69342,69356) = ( 69342 × 69356) / 14
LCM(69342,69356) = 4809283752 / 14
LCM(69342,69356) = 343520268

Least Common Multiple (LCM) of 69342 and 69356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69342 and 69356. First we will calculate the prime factors of 69342 and 69356.

Prime Factorization of 69342

Prime Factorization of 69356

Now multiplying the highest exponent prime factors to calculate the LCM of 69342 and 69356.

LCM(69342,69356) = 2² × 3¹ × 7¹ × 13¹ × 127¹ × 2477¹
LCM(69342,69356) = 343520268