What is the Least Common Multiple of 65561 and 65575?

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 65561 and 65575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65561 and 65575, than apply into the LCM equation.

GCF(65561,65575) = 1
LCM(65561,65575) = ( 65561 × 65575) / 1
LCM(65561,65575) = 4299162575 / 1
LCM(65561,65575) = 4299162575

Least Common Multiple (LCM) of 65561 and 65575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65561 and 65575. First we will calculate the prime factors of 65561 and 65575.

Prime Factorization of 65561

Prime Factorization of 65575

Now multiplying the highest exponent prime factors to calculate the LCM of 65561 and 65575.

LCM(65561,65575) = 53¹ × 1237¹ × 5² × 43¹ × 61¹
LCM(65561,65575) = 4299162575