What is the Least Common Multiple of 68154 and 68174?

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 68154 and 68174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68154 and 68174, than apply into the LCM equation.

GCF(68154,68174) = 2
LCM(68154,68174) = ( 68154 × 68174) / 2
LCM(68154,68174) = 4646330796 / 2
LCM(68154,68174) = 2323165398

Least Common Multiple (LCM) of 68154 and 68174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68154 and 68174. First we will calculate the prime factors of 68154 and 68174.

Prime Factorization of 68154

Prime Factorization of 68174

Now multiplying the highest exponent prime factors to calculate the LCM of 68154 and 68174.

LCM(68154,68174) = 2¹ × 3¹ × 37¹ × 307¹ × 89¹ × 383¹
LCM(68154,68174) = 2323165398