What is the Least Common Multiple of 55825 and 55842?

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 55842 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 55842, than apply into the LCM equation.

GCF(55825,55842) = 1
LCM(55825,55842) = ( 55825 × 55842) / 1
LCM(55825,55842) = 3117379650 / 1
LCM(55825,55842) = 3117379650

Least Common Multiple (LCM) of 55825 and 55842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55825 and 55842. First we will calculate the prime factors of 55825 and 55842.

Prime Factorization of 55825

Prime Factorization of 55842

Now multiplying the highest exponent prime factors to calculate the LCM of 55825 and 55842.

LCM(55825,55842) = 5² × 7¹ × 11¹ × 29¹ × 2¹ × 3¹ × 41¹ × 227¹
LCM(55825,55842) = 3117379650