What is the Least Common Multiple of 69894 and 69899?

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 69899 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 69899, than apply into the LCM equation.

GCF(69894,69899) = 1
LCM(69894,69899) = ( 69894 × 69899) / 1
LCM(69894,69899) = 4885520706 / 1
LCM(69894,69899) = 4885520706

Least Common Multiple (LCM) of 69894 and 69899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69894 and 69899. First we will calculate the prime factors of 69894 and 69899.

Prime Factorization of 69894

Prime Factorization of 69899

Now multiplying the highest exponent prime factors to calculate the LCM of 69894 and 69899.

LCM(69894,69899) = 2¹ × 3² × 11¹ × 353¹ × 69899¹
LCM(69894,69899) = 4885520706