What is the Least Common Multiple of 55154 and 55174?

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 55154 and 55174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55154 and 55174, than apply into the LCM equation.

GCF(55154,55174) = 2
LCM(55154,55174) = ( 55154 × 55174) / 2
LCM(55154,55174) = 3043066796 / 2
LCM(55154,55174) = 1521533398

Least Common Multiple (LCM) of 55154 and 55174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55154 and 55174. First we will calculate the prime factors of 55154 and 55174.

Prime Factorization of 55154

Prime Factorization of 55174

Now multiplying the highest exponent prime factors to calculate the LCM of 55154 and 55174.

LCM(55154,55174) = 2¹ × 11¹ × 23¹ × 109¹ × 7² × 563¹
LCM(55154,55174) = 1521533398