What is the Least Common Multiple of 9457 and 9463?

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 9457 and 9463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9457 and 9463, than apply into the LCM equation.

GCF(9457,9463) = 1
LCM(9457,9463) = ( 9457 × 9463) / 1
LCM(9457,9463) = 89491591 / 1
LCM(9457,9463) = 89491591

Least Common Multiple (LCM) of 9457 and 9463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9457 and 9463. First we will calculate the prime factors of 9457 and 9463.

Prime Factorization of 9457

Prime Factorization of 9463

Now multiplying the highest exponent prime factors to calculate the LCM of 9457 and 9463.

LCM(9457,9463) = 7² × 193¹ × 9463¹
LCM(9457,9463) = 89491591