What is the Least Common Multiple of 69208 and 69212?

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 69208 and 69212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69208 and 69212, than apply into the LCM equation.

GCF(69208,69212) = 4
LCM(69208,69212) = ( 69208 × 69212) / 4
LCM(69208,69212) = 4790024096 / 4
LCM(69208,69212) = 1197506024

Least Common Multiple (LCM) of 69208 and 69212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69208 and 69212. First we will calculate the prime factors of 69208 and 69212.

Prime Factorization of 69208

Prime Factorization of 69212

Now multiplying the highest exponent prime factors to calculate the LCM of 69208 and 69212.

LCM(69208,69212) = 2³ × 41¹ × 211¹ × 11³ × 13¹
LCM(69208,69212) = 1197506024