What is the Least Common Multiple of 27550 and 27569?

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 27550 and 27569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27550 and 27569, than apply into the LCM equation.

GCF(27550,27569) = 19
LCM(27550,27569) = ( 27550 × 27569) / 19
LCM(27550,27569) = 759525950 / 19
LCM(27550,27569) = 39975050

Least Common Multiple (LCM) of 27550 and 27569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27550 and 27569. First we will calculate the prime factors of 27550 and 27569.

Prime Factorization of 27550

Prime Factorization of 27569

Now multiplying the highest exponent prime factors to calculate the LCM of 27550 and 27569.

LCM(27550,27569) = 2¹ × 5² × 19¹ × 29¹ × 1451¹
LCM(27550,27569) = 39975050