What is the Least Common Multiple of 66058 and 66068?

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 66058 and 66068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66058 and 66068, than apply into the LCM equation.

GCF(66058,66068) = 2
LCM(66058,66068) = ( 66058 × 66068) / 2
LCM(66058,66068) = 4364319944 / 2
LCM(66058,66068) = 2182159972

Least Common Multiple (LCM) of 66058 and 66068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66058 and 66068. First we will calculate the prime factors of 66058 and 66068.

Prime Factorization of 66058

Prime Factorization of 66068

Now multiplying the highest exponent prime factors to calculate the LCM of 66058 and 66068.

LCM(66058,66068) = 2² × 33029¹ × 83¹ × 199¹
LCM(66058,66068) = 2182159972