What is the Least Common Multiple of 68054 and 68069?

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 68054 and 68069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68054 and 68069, than apply into the LCM equation.

GCF(68054,68069) = 1
LCM(68054,68069) = ( 68054 × 68069) / 1
LCM(68054,68069) = 4632367726 / 1
LCM(68054,68069) = 4632367726

Least Common Multiple (LCM) of 68054 and 68069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68054 and 68069. First we will calculate the prime factors of 68054 and 68069.

Prime Factorization of 68054

Prime Factorization of 68069

Now multiplying the highest exponent prime factors to calculate the LCM of 68054 and 68069.

LCM(68054,68069) = 2¹ × 7¹ × 4861¹ × 43¹ × 1583¹
LCM(68054,68069) = 4632367726