What is the Least Common Multiple of 17450 and 17463?

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 17450 and 17463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17450 and 17463, than apply into the LCM equation.

GCF(17450,17463) = 1
LCM(17450,17463) = ( 17450 × 17463) / 1
LCM(17450,17463) = 304729350 / 1
LCM(17450,17463) = 304729350

Least Common Multiple (LCM) of 17450 and 17463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17450 and 17463. First we will calculate the prime factors of 17450 and 17463.

Prime Factorization of 17450

Prime Factorization of 17463

Now multiplying the highest exponent prime factors to calculate the LCM of 17450 and 17463.

LCM(17450,17463) = 2¹ × 5² × 349¹ × 3¹ × 5821¹
LCM(17450,17463) = 304729350