What is the Least Common Multiple of 3154 and 3173?

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 3154 and 3173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3154 and 3173, than apply into the LCM equation.

GCF(3154,3173) = 19
LCM(3154,3173) = ( 3154 × 3173) / 19
LCM(3154,3173) = 10007642 / 19
LCM(3154,3173) = 526718

Least Common Multiple (LCM) of 3154 and 3173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3154 and 3173. First we will calculate the prime factors of 3154 and 3173.

Prime Factorization of 3154

Prime Factorization of 3173

Now multiplying the highest exponent prime factors to calculate the LCM of 3154 and 3173.

LCM(3154,3173) = 2¹ × 19¹ × 83¹ × 167¹
LCM(3154,3173) = 526718