What is the Least Common Multiple of 34194 and 34203?

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 34194 and 34203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34194 and 34203, than apply into the LCM equation.

GCF(34194,34203) = 3
LCM(34194,34203) = ( 34194 × 34203) / 3
LCM(34194,34203) = 1169537382 / 3
LCM(34194,34203) = 389845794

Least Common Multiple (LCM) of 34194 and 34203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34194 and 34203. First we will calculate the prime factors of 34194 and 34203.

Prime Factorization of 34194

Prime Factorization of 34203

Now multiplying the highest exponent prime factors to calculate the LCM of 34194 and 34203.

LCM(34194,34203) = 2¹ × 3¹ × 41¹ × 139¹ × 13¹ × 877¹
LCM(34194,34203) = 389845794