What is the Least Common Multiple of 55906 and 55926?

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 55926 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 55926, than apply into the LCM equation.

GCF(55906,55926) = 2
LCM(55906,55926) = ( 55906 × 55926) / 2
LCM(55906,55926) = 3126598956 / 2
LCM(55906,55926) = 1563299478

Least Common Multiple (LCM) of 55906 and 55926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55906 and 55926. First we will calculate the prime factors of 55906 and 55926.

Prime Factorization of 55906

Prime Factorization of 55926

Now multiplying the highest exponent prime factors to calculate the LCM of 55906 and 55926.

LCM(55906,55926) = 2¹ × 27953¹ × 3² × 13¹ × 239¹
LCM(55906,55926) = 1563299478