What is the Least Common Multiple of 55906 and 55918?

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 55906 and 55918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55906 and 55918, than apply into the LCM equation.

GCF(55906,55918) = 2
LCM(55906,55918) = ( 55906 × 55918) / 2
LCM(55906,55918) = 3126151708 / 2
LCM(55906,55918) = 1563075854

Least Common Multiple (LCM) of 55906 and 55918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55906 and 55918. First we will calculate the prime factors of 55906 and 55918.

Prime Factorization of 55906

Prime Factorization of 55918

Now multiplying the highest exponent prime factors to calculate the LCM of 55906 and 55918.

LCM(55906,55918) = 2¹ × 27953¹ × 73¹ × 383¹
LCM(55906,55918) = 1563075854