What is the Least Common Multiple of 83154 and 83174?

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 83154 and 83174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83154 and 83174, than apply into the LCM equation.

GCF(83154,83174) = 2
LCM(83154,83174) = ( 83154 × 83174) / 2
LCM(83154,83174) = 6916250796 / 2
LCM(83154,83174) = 3458125398

Least Common Multiple (LCM) of 83154 and 83174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83154 and 83174. First we will calculate the prime factors of 83154 and 83174.

Prime Factorization of 83154

Prime Factorization of 83174

Now multiplying the highest exponent prime factors to calculate the LCM of 83154 and 83174.

LCM(83154,83174) = 2¹ × 3¹ × 13859¹ × 7¹ × 13¹ × 457¹
LCM(83154,83174) = 3458125398