What is the Least Common Multiple of 68667 and 68685?

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 68667 and 68685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68667 and 68685, than apply into the LCM equation.

GCF(68667,68685) = 3
LCM(68667,68685) = ( 68667 × 68685) / 3
LCM(68667,68685) = 4716392895 / 3
LCM(68667,68685) = 1572130965

Least Common Multiple (LCM) of 68667 and 68685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68667 and 68685. First we will calculate the prime factors of 68667 and 68685.

Prime Factorization of 68667

Prime Factorization of 68685

Now multiplying the highest exponent prime factors to calculate the LCM of 68667 and 68685.

LCM(68667,68685) = 3¹ × 47¹ × 487¹ × 5¹ × 19¹ × 241¹
LCM(68667,68685) = 1572130965