What is the Least Common Multiple of 65569 and 65576?

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 65569 and 65576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65569 and 65576, than apply into the LCM equation.

GCF(65569,65576) = 7
LCM(65569,65576) = ( 65569 × 65576) / 7
LCM(65569,65576) = 4299752744 / 7
LCM(65569,65576) = 614250392

Least Common Multiple (LCM) of 65569 and 65576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65569 and 65576. First we will calculate the prime factors of 65569 and 65576.

Prime Factorization of 65569

Prime Factorization of 65576

Now multiplying the highest exponent prime factors to calculate the LCM of 65569 and 65576.

LCM(65569,65576) = 7¹ × 17¹ × 19¹ × 29¹ × 2³ × 1171¹
LCM(65569,65576) = 614250392