What is the Least Common Multiple of 55835 and 55855?

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 55835 and 55855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55835 and 55855, than apply into the LCM equation.

GCF(55835,55855) = 5
LCM(55835,55855) = ( 55835 × 55855) / 5
LCM(55835,55855) = 3118663925 / 5
LCM(55835,55855) = 623732785

Least Common Multiple (LCM) of 55835 and 55855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55835 and 55855. First we will calculate the prime factors of 55835 and 55855.

Prime Factorization of 55835

Prime Factorization of 55855

Now multiplying the highest exponent prime factors to calculate the LCM of 55835 and 55855.

LCM(55835,55855) = 5¹ × 13¹ × 859¹ × 11171¹
LCM(55835,55855) = 623732785