What is the Least Common Multiple of 51825 and 51837?

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 51825 and 51837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51825 and 51837, than apply into the LCM equation.

GCF(51825,51837) = 3
LCM(51825,51837) = ( 51825 × 51837) / 3
LCM(51825,51837) = 2686452525 / 3
LCM(51825,51837) = 895484175

Least Common Multiple (LCM) of 51825 and 51837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51825 and 51837. First we will calculate the prime factors of 51825 and 51837.

Prime Factorization of 51825

Prime Factorization of 51837

Now multiplying the highest exponent prime factors to calculate the LCM of 51825 and 51837.

LCM(51825,51837) = 3¹ × 5² × 691¹ × 37¹ × 467¹
LCM(51825,51837) = 895484175