What is the Least Common Multiple of 68066 and 68086?

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 68066 and 68086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68066 and 68086, than apply into the LCM equation.

GCF(68066,68086) = 2
LCM(68066,68086) = ( 68066 × 68086) / 2
LCM(68066,68086) = 4634341676 / 2
LCM(68066,68086) = 2317170838

Least Common Multiple (LCM) of 68066 and 68086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68066 and 68086. First we will calculate the prime factors of 68066 and 68086.

Prime Factorization of 68066

Prime Factorization of 68086

Now multiplying the highest exponent prime factors to calculate the LCM of 68066 and 68086.

LCM(68066,68086) = 2¹ × 34033¹ × 59¹ × 577¹
LCM(68066,68086) = 2317170838