What is the Least Common Multiple of 69894 and 69904?

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 69894 and 69904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69894 and 69904, than apply into the LCM equation.

GCF(69894,69904) = 2
LCM(69894,69904) = ( 69894 × 69904) / 2
LCM(69894,69904) = 4885870176 / 2
LCM(69894,69904) = 2442935088

Least Common Multiple (LCM) of 69894 and 69904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69894 and 69904. First we will calculate the prime factors of 69894 and 69904.

Prime Factorization of 69894

Prime Factorization of 69904

Now multiplying the highest exponent prime factors to calculate the LCM of 69894 and 69904.

LCM(69894,69904) = 2⁴ × 3² × 11¹ × 353¹ × 17¹ × 257¹
LCM(69894,69904) = 2442935088