What is the Least Common Multiple of 69568 and 69580?

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 69568 and 69580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69568 and 69580, than apply into the LCM equation.

GCF(69568,69580) = 4
LCM(69568,69580) = ( 69568 × 69580) / 4
LCM(69568,69580) = 4840541440 / 4
LCM(69568,69580) = 1210135360

Least Common Multiple (LCM) of 69568 and 69580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69568 and 69580. First we will calculate the prime factors of 69568 and 69580.

Prime Factorization of 69568

Prime Factorization of 69580

Now multiplying the highest exponent prime factors to calculate the LCM of 69568 and 69580.

LCM(69568,69580) = 2⁶ × 1087¹ × 5¹ × 7² × 71¹
LCM(69568,69580) = 1210135360