What is the Least Common Multiple of 69214 and 69232?

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 69214 and 69232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69214 and 69232, than apply into the LCM equation.

GCF(69214,69232) = 2
LCM(69214,69232) = ( 69214 × 69232) / 2
LCM(69214,69232) = 4791823648 / 2
LCM(69214,69232) = 2395911824

Least Common Multiple (LCM) of 69214 and 69232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69214 and 69232. First we will calculate the prime factors of 69214 and 69232.

Prime Factorization of 69214

Prime Factorization of 69232

Now multiplying the highest exponent prime factors to calculate the LCM of 69214 and 69232.

LCM(69214,69232) = 2⁴ × 34607¹ × 4327¹
LCM(69214,69232) = 2395911824