What is the Least Common Multiple of 68058 and 68067?

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 68058 and 68067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68058 and 68067, than apply into the LCM equation.

GCF(68058,68067) = 9
LCM(68058,68067) = ( 68058 × 68067) / 9
LCM(68058,68067) = 4632503886 / 9
LCM(68058,68067) = 514722654

Least Common Multiple (LCM) of 68058 and 68067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68058 and 68067. First we will calculate the prime factors of 68058 and 68067.

Prime Factorization of 68058

Prime Factorization of 68067

Now multiplying the highest exponent prime factors to calculate the LCM of 68058 and 68067.

LCM(68058,68067) = 2¹ × 3³ × 19¹ × 199¹ × 2521¹
LCM(68058,68067) = 514722654