What is the Least Common Multiple of 68148 and 68166?

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 68148 and 68166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68148 and 68166, than apply into the LCM equation.

GCF(68148,68166) = 18
LCM(68148,68166) = ( 68148 × 68166) / 18
LCM(68148,68166) = 4645376568 / 18
LCM(68148,68166) = 258076476

Least Common Multiple (LCM) of 68148 and 68166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68148 and 68166. First we will calculate the prime factors of 68148 and 68166.

Prime Factorization of 68148

Prime Factorization of 68166

Now multiplying the highest exponent prime factors to calculate the LCM of 68148 and 68166.

LCM(68148,68166) = 2² × 3³ × 631¹ × 7¹ × 541¹
LCM(68148,68166) = 258076476