What is the Least Common Multiple of 68066 and 68082?

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 68082 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 68082, than apply into the LCM equation.

GCF(68066,68082) = 2
LCM(68066,68082) = ( 68066 × 68082) / 2
LCM(68066,68082) = 4634069412 / 2
LCM(68066,68082) = 2317034706

Least Common Multiple (LCM) of 68066 and 68082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68066 and 68082. First we will calculate the prime factors of 68066 and 68082.

Prime Factorization of 68066

Prime Factorization of 68082

Now multiplying the highest exponent prime factors to calculate the LCM of 68066 and 68082.

LCM(68066,68082) = 2¹ × 34033¹ × 3¹ × 7¹ × 1621¹
LCM(68066,68082) = 2317034706