What is the Least Common Multiple of 66213 and 66233?

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 66213 and 66233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66213 and 66233, than apply into the LCM equation.

GCF(66213,66233) = 1
LCM(66213,66233) = ( 66213 × 66233) / 1
LCM(66213,66233) = 4385485629 / 1
LCM(66213,66233) = 4385485629

Least Common Multiple (LCM) of 66213 and 66233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66213 and 66233. First we will calculate the prime factors of 66213 and 66233.

Prime Factorization of 66213

Prime Factorization of 66233

Now multiplying the highest exponent prime factors to calculate the LCM of 66213 and 66233.

LCM(66213,66233) = 3² × 7¹ × 1051¹ × 107¹ × 619¹
LCM(66213,66233) = 4385485629