What is the Least Common Multiple of 48825 and 48841?

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 48825 and 48841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48825 and 48841, than apply into the LCM equation.

GCF(48825,48841) = 1
LCM(48825,48841) = ( 48825 × 48841) / 1
LCM(48825,48841) = 2384661825 / 1
LCM(48825,48841) = 2384661825

Least Common Multiple (LCM) of 48825 and 48841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48825 and 48841. First we will calculate the prime factors of 48825 and 48841.

Prime Factorization of 48825

Prime Factorization of 48841

Now multiplying the highest exponent prime factors to calculate the LCM of 48825 and 48841.

LCM(48825,48841) = 3² × 5² × 7¹ × 31¹ × 13² × 17²
LCM(48825,48841) = 2384661825