What is the Least Common Multiple of 69588 and 69598?

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 69588 and 69598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69588 and 69598, than apply into the LCM equation.

GCF(69588,69598) = 2
LCM(69588,69598) = ( 69588 × 69598) / 2
LCM(69588,69598) = 4843185624 / 2
LCM(69588,69598) = 2421592812

Least Common Multiple (LCM) of 69588 and 69598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69588 and 69598. First we will calculate the prime factors of 69588 and 69598.

Prime Factorization of 69588

Prime Factorization of 69598

Now multiplying the highest exponent prime factors to calculate the LCM of 69588 and 69598.

LCM(69588,69598) = 2² × 3² × 1933¹ × 17¹ × 23¹ × 89¹
LCM(69588,69598) = 2421592812