What is the Least Common Multiple of 69204 and 69214?

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 69204 and 69214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69204 and 69214, than apply into the LCM equation.

GCF(69204,69214) = 2
LCM(69204,69214) = ( 69204 × 69214) / 2
LCM(69204,69214) = 4789885656 / 2
LCM(69204,69214) = 2394942828

Least Common Multiple (LCM) of 69204 and 69214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69204 and 69214. First we will calculate the prime factors of 69204 and 69214.

Prime Factorization of 69204

Prime Factorization of 69214

Now multiplying the highest exponent prime factors to calculate the LCM of 69204 and 69214.

LCM(69204,69214) = 2² × 3¹ × 73¹ × 79¹ × 34607¹
LCM(69204,69214) = 2394942828