What is the Least Common Multiple of 71394 and 71403?

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 71394 and 71403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71394 and 71403, than apply into the LCM equation.

GCF(71394,71403) = 3
LCM(71394,71403) = ( 71394 × 71403) / 3
LCM(71394,71403) = 5097745782 / 3
LCM(71394,71403) = 1699248594

Least Common Multiple (LCM) of 71394 and 71403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71394 and 71403. First we will calculate the prime factors of 71394 and 71403.

Prime Factorization of 71394

Prime Factorization of 71403

Now multiplying the highest exponent prime factors to calculate the LCM of 71394 and 71403.

LCM(71394,71403) = 2¹ × 3¹ × 73¹ × 163¹ × 23801¹
LCM(71394,71403) = 1699248594