What is the Least Common Multiple of 69798 and 69808?

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 69798 and 69808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69798 and 69808, than apply into the LCM equation.

GCF(69798,69808) = 2
LCM(69798,69808) = ( 69798 × 69808) / 2
LCM(69798,69808) = 4872458784 / 2
LCM(69798,69808) = 2436229392

Least Common Multiple (LCM) of 69798 and 69808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69798 and 69808. First we will calculate the prime factors of 69798 and 69808.

Prime Factorization of 69798

Prime Factorization of 69808

Now multiplying the highest exponent prime factors to calculate the LCM of 69798 and 69808.

LCM(69798,69808) = 2⁴ × 3¹ × 11633¹ × 4363¹
LCM(69798,69808) = 2436229392