What is the Least Common Multiple of 66198 and 66213?

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 66198 and 66213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66198 and 66213, than apply into the LCM equation.

GCF(66198,66213) = 3
LCM(66198,66213) = ( 66198 × 66213) / 3
LCM(66198,66213) = 4383168174 / 3
LCM(66198,66213) = 1461056058

Least Common Multiple (LCM) of 66198 and 66213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66198 and 66213. First we will calculate the prime factors of 66198 and 66213.

Prime Factorization of 66198

Prime Factorization of 66213

Now multiplying the highest exponent prime factors to calculate the LCM of 66198 and 66213.

LCM(66198,66213) = 2¹ × 3² × 11¹ × 17¹ × 59¹ × 7¹ × 1051¹
LCM(66198,66213) = 1461056058