What is the Least Common Multiple of 55806 and 55821?

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 55806 and 55821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55806 and 55821, than apply into the LCM equation.

GCF(55806,55821) = 3
LCM(55806,55821) = ( 55806 × 55821) / 3
LCM(55806,55821) = 3115146726 / 3
LCM(55806,55821) = 1038382242

Least Common Multiple (LCM) of 55806 and 55821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55806 and 55821. First we will calculate the prime factors of 55806 and 55821.

Prime Factorization of 55806

Prime Factorization of 55821

Now multiplying the highest exponent prime factors to calculate the LCM of 55806 and 55821.

LCM(55806,55821) = 2¹ × 3¹ × 71¹ × 131¹ × 23¹ × 809¹
LCM(55806,55821) = 1038382242