What is the Least Common Multiple of 69576 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 69576 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 69576 and 69584, than apply into the LCM equation.

GCF(69576,69584) = 8
LCM(69576,69584) = ( 69576 × 69584) / 8
LCM(69576,69584) = 4841376384 / 8
LCM(69576,69584) = 605172048

Least Common Multiple (LCM) of 69576 and 69584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69576 and 69584. First we will calculate the prime factors of 69576 and 69584.

Prime Factorization of 69576

Prime Factorization of 69584

Now multiplying the highest exponent prime factors to calculate the LCM of 69576 and 69584.

LCM(69576,69584) = 2⁴ × 3¹ × 13¹ × 223¹ × 4349¹
LCM(69576,69584) = 605172048