What is the Least Common Multiple of 14825 and 14837?

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 14825 and 14837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14825 and 14837, than apply into the LCM equation.

GCF(14825,14837) = 1
LCM(14825,14837) = ( 14825 × 14837) / 1
LCM(14825,14837) = 219958525 / 1
LCM(14825,14837) = 219958525

Least Common Multiple (LCM) of 14825 and 14837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14825 and 14837. First we will calculate the prime factors of 14825 and 14837.

Prime Factorization of 14825

Prime Factorization of 14837

Now multiplying the highest exponent prime factors to calculate the LCM of 14825 and 14837.

LCM(14825,14837) = 5² × 593¹ × 37¹ × 401¹
LCM(14825,14837) = 219958525