What is the Least Common Multiple of 38569 and 38577?

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 38569 and 38577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38569 and 38577, than apply into the LCM equation.

GCF(38569,38577) = 1
LCM(38569,38577) = ( 38569 × 38577) / 1
LCM(38569,38577) = 1487876313 / 1
LCM(38569,38577) = 1487876313

Least Common Multiple (LCM) of 38569 and 38577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38569 and 38577. First we will calculate the prime factors of 38569 and 38577.

Prime Factorization of 38569

Prime Factorization of 38577

Now multiplying the highest exponent prime factors to calculate the LCM of 38569 and 38577.

LCM(38569,38577) = 38569¹ × 3¹ × 7¹ × 11¹ × 167¹
LCM(38569,38577) = 1487876313