What is the Least Common Multiple of 4154 and 4174?

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 4154 and 4174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4154 and 4174, than apply into the LCM equation.

GCF(4154,4174) = 2
LCM(4154,4174) = ( 4154 × 4174) / 2
LCM(4154,4174) = 17338796 / 2
LCM(4154,4174) = 8669398

Least Common Multiple (LCM) of 4154 and 4174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4154 and 4174. First we will calculate the prime factors of 4154 and 4174.

Prime Factorization of 4154

Prime Factorization of 4174

Now multiplying the highest exponent prime factors to calculate the LCM of 4154 and 4174.

LCM(4154,4174) = 2¹ × 31¹ × 67¹ × 2087¹
LCM(4154,4174) = 8669398