What is the Least Common Multiple of 24825 and 24839?

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 24825 and 24839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24825 and 24839, than apply into the LCM equation.

GCF(24825,24839) = 1
LCM(24825,24839) = ( 24825 × 24839) / 1
LCM(24825,24839) = 616628175 / 1
LCM(24825,24839) = 616628175

Least Common Multiple (LCM) of 24825 and 24839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24825 and 24839. First we will calculate the prime factors of 24825 and 24839.

Prime Factorization of 24825

Prime Factorization of 24839

Now multiplying the highest exponent prime factors to calculate the LCM of 24825 and 24839.

LCM(24825,24839) = 3¹ × 5² × 331¹ × 59¹ × 421¹
LCM(24825,24839) = 616628175