What is the Least Common Multiple of 62394 and 62403?

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 62394 and 62403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62394 and 62403, than apply into the LCM equation.

GCF(62394,62403) = 3
LCM(62394,62403) = ( 62394 × 62403) / 3
LCM(62394,62403) = 3893572782 / 3
LCM(62394,62403) = 1297857594

Least Common Multiple (LCM) of 62394 and 62403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62394 and 62403. First we will calculate the prime factors of 62394 and 62403.

Prime Factorization of 62394

Prime Factorization of 62403

Now multiplying the highest exponent prime factors to calculate the LCM of 62394 and 62403.

LCM(62394,62403) = 2¹ × 3¹ × 10399¹ × 11¹ × 31¹ × 61¹
LCM(62394,62403) = 1297857594