What is the Least Common Multiple of 55806 and 55824?

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 55824 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 55824, than apply into the LCM equation.

GCF(55806,55824) = 6
LCM(55806,55824) = ( 55806 × 55824) / 6
LCM(55806,55824) = 3115314144 / 6
LCM(55806,55824) = 519219024

Least Common Multiple (LCM) of 55806 and 55824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55806 and 55824. First we will calculate the prime factors of 55806 and 55824.

Prime Factorization of 55806

Prime Factorization of 55824

Now multiplying the highest exponent prime factors to calculate the LCM of 55806 and 55824.

LCM(55806,55824) = 2⁴ × 3¹ × 71¹ × 131¹ × 1163¹
LCM(55806,55824) = 519219024