What is the Least Common Multiple of 69584 and 69597?

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 69584 and 69597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69584 and 69597, than apply into the LCM equation.

GCF(69584,69597) = 1
LCM(69584,69597) = ( 69584 × 69597) / 1
LCM(69584,69597) = 4842837648 / 1
LCM(69584,69597) = 4842837648

Least Common Multiple (LCM) of 69584 and 69597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69584 and 69597. First we will calculate the prime factors of 69584 and 69597.

Prime Factorization of 69584

Prime Factorization of 69597

Now multiplying the highest exponent prime factors to calculate the LCM of 69584 and 69597.

LCM(69584,69597) = 2⁴ × 4349¹ × 3² × 11¹ × 19¹ × 37¹
LCM(69584,69597) = 4842837648