What is the Least Common Multiple of 55825 and 55836?

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 55825 and 55836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55825 and 55836, than apply into the LCM equation.

GCF(55825,55836) = 11
LCM(55825,55836) = ( 55825 × 55836) / 11
LCM(55825,55836) = 3117044700 / 11
LCM(55825,55836) = 283367700

Least Common Multiple (LCM) of 55825 and 55836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55825 and 55836. First we will calculate the prime factors of 55825 and 55836.

Prime Factorization of 55825

Prime Factorization of 55836

Now multiplying the highest exponent prime factors to calculate the LCM of 55825 and 55836.

LCM(55825,55836) = 5² × 7¹ × 11¹ × 29¹ × 2² × 3³ × 47¹
LCM(55825,55836) = 283367700