What is the Least Common Multiple of 5154 and 5174?

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 5154 and 5174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5154 and 5174, than apply into the LCM equation.

GCF(5154,5174) = 2
LCM(5154,5174) = ( 5154 × 5174) / 2
LCM(5154,5174) = 26666796 / 2
LCM(5154,5174) = 13333398

Least Common Multiple (LCM) of 5154 and 5174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5154 and 5174. First we will calculate the prime factors of 5154 and 5174.

Prime Factorization of 5154

Prime Factorization of 5174

Now multiplying the highest exponent prime factors to calculate the LCM of 5154 and 5174.

LCM(5154,5174) = 2¹ × 3¹ × 859¹ × 13¹ × 199¹
LCM(5154,5174) = 13333398