What is the Least Common Multiple of 55505 and 55523?

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 55505 and 55523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55505 and 55523, than apply into the LCM equation.

GCF(55505,55523) = 1
LCM(55505,55523) = ( 55505 × 55523) / 1
LCM(55505,55523) = 3081804115 / 1
LCM(55505,55523) = 3081804115

Least Common Multiple (LCM) of 55505 and 55523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55505 and 55523. First we will calculate the prime factors of 55505 and 55523.

Prime Factorization of 55505

Prime Factorization of 55523

Now multiplying the highest exponent prime factors to calculate the LCM of 55505 and 55523.

LCM(55505,55523) = 5¹ × 17¹ × 653¹ × 13¹ × 4271¹
LCM(55505,55523) = 3081804115