What is the Least Common Multiple of 69580 and 69585?

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 69580 and 69585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69580 and 69585, than apply into the LCM equation.

GCF(69580,69585) = 5
LCM(69580,69585) = ( 69580 × 69585) / 5
LCM(69580,69585) = 4841724300 / 5
LCM(69580,69585) = 968344860

Least Common Multiple (LCM) of 69580 and 69585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69580 and 69585. First we will calculate the prime factors of 69580 and 69585.

Prime Factorization of 69580

Prime Factorization of 69585

Now multiplying the highest exponent prime factors to calculate the LCM of 69580 and 69585.

LCM(69580,69585) = 2² × 5¹ × 7² × 71¹ × 3¹ × 4639¹
LCM(69580,69585) = 968344860