What is the Least Common Multiple of 69574 and 69593?

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 69574 and 69593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69574 and 69593, than apply into the LCM equation.

GCF(69574,69593) = 1
LCM(69574,69593) = ( 69574 × 69593) / 1
LCM(69574,69593) = 4841863382 / 1
LCM(69574,69593) = 4841863382

Least Common Multiple (LCM) of 69574 and 69593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69574 and 69593. First we will calculate the prime factors of 69574 and 69593.

Prime Factorization of 69574

Prime Factorization of 69593

Now multiplying the highest exponent prime factors to calculate the LCM of 69574 and 69593.

LCM(69574,69593) = 2¹ × 43¹ × 809¹ × 69593¹
LCM(69574,69593) = 4841863382