What is the Least Common Multiple of 55458 and 55471?

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 55458 and 55471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55458 and 55471, than apply into the LCM equation.

GCF(55458,55471) = 13
LCM(55458,55471) = ( 55458 × 55471) / 13
LCM(55458,55471) = 3076310718 / 13
LCM(55458,55471) = 236639286

Least Common Multiple (LCM) of 55458 and 55471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55458 and 55471. First we will calculate the prime factors of 55458 and 55471.

Prime Factorization of 55458

Prime Factorization of 55471

Now multiplying the highest exponent prime factors to calculate the LCM of 55458 and 55471.

LCM(55458,55471) = 2¹ × 3³ × 13¹ × 79¹ × 17¹ × 251¹
LCM(55458,55471) = 236639286