What is the Least Common Multiple of 68121 and 68136?

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 68121 and 68136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68121 and 68136, than apply into the LCM equation.

GCF(68121,68136) = 3
LCM(68121,68136) = ( 68121 × 68136) / 3
LCM(68121,68136) = 4641492456 / 3
LCM(68121,68136) = 1547164152

Least Common Multiple (LCM) of 68121 and 68136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68121 and 68136. First we will calculate the prime factors of 68121 and 68136.

Prime Factorization of 68121

Prime Factorization of 68136

Now multiplying the highest exponent prime factors to calculate the LCM of 68121 and 68136.

LCM(68121,68136) = 3⁴ × 29² × 2³ × 17¹ × 167¹
LCM(68121,68136) = 1547164152