What is the Least Common Multiple of 69308 and 69326?

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 69308 and 69326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69308 and 69326, than apply into the LCM equation.

GCF(69308,69326) = 2
LCM(69308,69326) = ( 69308 × 69326) / 2
LCM(69308,69326) = 4804846408 / 2
LCM(69308,69326) = 2402423204

Least Common Multiple (LCM) of 69308 and 69326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69308 and 69326. First we will calculate the prime factors of 69308 and 69326.

Prime Factorization of 69308

Prime Factorization of 69326

Now multiplying the highest exponent prime factors to calculate the LCM of 69308 and 69326.

LCM(69308,69326) = 2² × 17327¹ × 17¹ × 2039¹
LCM(69308,69326) = 2402423204