What is the Least Common Multiple of 69608 and 69619?

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 69608 and 69619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69608 and 69619, than apply into the LCM equation.

GCF(69608,69619) = 11
LCM(69608,69619) = ( 69608 × 69619) / 11
LCM(69608,69619) = 4846039352 / 11
LCM(69608,69619) = 440549032

Least Common Multiple (LCM) of 69608 and 69619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69608 and 69619. First we will calculate the prime factors of 69608 and 69619.

Prime Factorization of 69608

Prime Factorization of 69619

Now multiplying the highest exponent prime factors to calculate the LCM of 69608 and 69619.

LCM(69608,69619) = 2³ × 7¹ × 11¹ × 113¹ × 6329¹
LCM(69608,69619) = 440549032