What is the Least Common Multiple of 65552 and 65569?

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 65552 and 65569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65552 and 65569, than apply into the LCM equation.

GCF(65552,65569) = 17
LCM(65552,65569) = ( 65552 × 65569) / 17
LCM(65552,65569) = 4298179088 / 17
LCM(65552,65569) = 252834064

Least Common Multiple (LCM) of 65552 and 65569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65552 and 65569. First we will calculate the prime factors of 65552 and 65569.

Prime Factorization of 65552

Prime Factorization of 65569

Now multiplying the highest exponent prime factors to calculate the LCM of 65552 and 65569.

LCM(65552,65569) = 2⁴ × 17¹ × 241¹ × 7¹ × 19¹ × 29¹
LCM(65552,65569) = 252834064