What is the Least Common Multiple of 55174 and 55181?

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 55174 and 55181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55174 and 55181, than apply into the LCM equation.

GCF(55174,55181) = 7
LCM(55174,55181) = ( 55174 × 55181) / 7
LCM(55174,55181) = 3044556494 / 7
LCM(55174,55181) = 434936642

Least Common Multiple (LCM) of 55174 and 55181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55174 and 55181. First we will calculate the prime factors of 55174 and 55181.

Prime Factorization of 55174

Prime Factorization of 55181

Now multiplying the highest exponent prime factors to calculate the LCM of 55174 and 55181.

LCM(55174,55181) = 2¹ × 7² × 563¹ × 7883¹
LCM(55174,55181) = 434936642