What is the Least Common Multiple of 58457 and 58463?

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 58457 and 58463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58457 and 58463, than apply into the LCM equation.

GCF(58457,58463) = 1
LCM(58457,58463) = ( 58457 × 58463) / 1
LCM(58457,58463) = 3417571591 / 1
LCM(58457,58463) = 3417571591

Least Common Multiple (LCM) of 58457 and 58463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58457 and 58463. First we will calculate the prime factors of 58457 and 58463.

Prime Factorization of 58457

Prime Factorization of 58463

Now multiplying the highest exponent prime factors to calculate the LCM of 58457 and 58463.

LCM(58457,58463) = 7² × 1193¹ × 17¹ × 19¹ × 181¹
LCM(58457,58463) = 3417571591