What is the Least Common Multiple of 66821 and 66833?

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 66821 and 66833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66821 and 66833, than apply into the LCM equation.

GCF(66821,66833) = 1
LCM(66821,66833) = ( 66821 × 66833) / 1
LCM(66821,66833) = 4465847893 / 1
LCM(66821,66833) = 4465847893

Least Common Multiple (LCM) of 66821 and 66833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66821 and 66833. First we will calculate the prime factors of 66821 and 66833.

Prime Factorization of 66821

Prime Factorization of 66833

Now multiplying the highest exponent prime factors to calculate the LCM of 66821 and 66833.

LCM(66821,66833) = 66821¹ × 13¹ × 53¹ × 97¹
LCM(66821,66833) = 4465847893