What is the Least Common Multiple of 12457 and 12463?

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 12457 and 12463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12457 and 12463, than apply into the LCM equation.

GCF(12457,12463) = 1
LCM(12457,12463) = ( 12457 × 12463) / 1
LCM(12457,12463) = 155251591 / 1
LCM(12457,12463) = 155251591

Least Common Multiple (LCM) of 12457 and 12463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12457 and 12463. First we will calculate the prime factors of 12457 and 12463.

Prime Factorization of 12457

Prime Factorization of 12463

Now multiplying the highest exponent prime factors to calculate the LCM of 12457 and 12463.

LCM(12457,12463) = 12457¹ × 11² × 103¹
LCM(12457,12463) = 155251591