What is the Least Common Multiple of 66561 and 66575?

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 66561 and 66575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66561 and 66575, than apply into the LCM equation.

GCF(66561,66575) = 1
LCM(66561,66575) = ( 66561 × 66575) / 1
LCM(66561,66575) = 4431298575 / 1
LCM(66561,66575) = 4431298575

Least Common Multiple (LCM) of 66561 and 66575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66561 and 66575. First we will calculate the prime factors of 66561 and 66575.

Prime Factorization of 66561

Prime Factorization of 66575

Now multiplying the highest exponent prime factors to calculate the LCM of 66561 and 66575.

LCM(66561,66575) = 3¹ × 11¹ × 2017¹ × 5² × 2663¹
LCM(66561,66575) = 4431298575