What is the Least Common Multiple of 69577 and 69584?

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 69577 and 69584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69577 and 69584, than apply into the LCM equation.

GCF(69577,69584) = 1
LCM(69577,69584) = ( 69577 × 69584) / 1
LCM(69577,69584) = 4841445968 / 1
LCM(69577,69584) = 4841445968

Least Common Multiple (LCM) of 69577 and 69584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69577 and 69584. First we will calculate the prime factors of 69577 and 69584.

Prime Factorization of 69577

Prime Factorization of 69584

Now multiplying the highest exponent prime factors to calculate the LCM of 69577 and 69584.

LCM(69577,69584) = 41¹ × 1697¹ × 2⁴ × 4349¹
LCM(69577,69584) = 4841445968