What is the Least Common Multiple of 7154 and 7174?

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 7154 and 7174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7154 and 7174, than apply into the LCM equation.

GCF(7154,7174) = 2
LCM(7154,7174) = ( 7154 × 7174) / 2
LCM(7154,7174) = 51322796 / 2
LCM(7154,7174) = 25661398

Least Common Multiple (LCM) of 7154 and 7174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7154 and 7174. First we will calculate the prime factors of 7154 and 7174.

Prime Factorization of 7154

Prime Factorization of 7174

Now multiplying the highest exponent prime factors to calculate the LCM of 7154 and 7174.

LCM(7154,7174) = 2¹ × 7² × 73¹ × 17¹ × 211¹
LCM(7154,7174) = 25661398