What is the Least Common Multiple of 49825 and 49844?

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 49825 and 49844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49825 and 49844, than apply into the LCM equation.

GCF(49825,49844) = 1
LCM(49825,49844) = ( 49825 × 49844) / 1
LCM(49825,49844) = 2483477300 / 1
LCM(49825,49844) = 2483477300

Least Common Multiple (LCM) of 49825 and 49844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49825 and 49844. First we will calculate the prime factors of 49825 and 49844.

Prime Factorization of 49825

Prime Factorization of 49844

Now multiplying the highest exponent prime factors to calculate the LCM of 49825 and 49844.

LCM(49825,49844) = 5² × 1993¹ × 2² × 17¹ × 733¹
LCM(49825,49844) = 2483477300