What is the Least Common Multiple of 93394 and 93402?

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 93394 and 93402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93394 and 93402, than apply into the LCM equation.

GCF(93394,93402) = 2
LCM(93394,93402) = ( 93394 × 93402) / 2
LCM(93394,93402) = 8723186388 / 2
LCM(93394,93402) = 4361593194

Least Common Multiple (LCM) of 93394 and 93402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93394 and 93402. First we will calculate the prime factors of 93394 and 93402.

Prime Factorization of 93394

Prime Factorization of 93402

Now multiplying the highest exponent prime factors to calculate the LCM of 93394 and 93402.

LCM(93394,93402) = 2¹ × 7² × 953¹ × 3² × 5189¹
LCM(93394,93402) = 4361593194