What is the Least Common Multiple of 5064 and 5068?

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 5064 and 5068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5064 and 5068, than apply into the LCM equation.

GCF(5064,5068) = 4
LCM(5064,5068) = ( 5064 × 5068) / 4
LCM(5064,5068) = 25664352 / 4
LCM(5064,5068) = 6416088

Least Common Multiple (LCM) of 5064 and 5068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5064 and 5068. First we will calculate the prime factors of 5064 and 5068.

Prime Factorization of 5064

Prime Factorization of 5068

Now multiplying the highest exponent prime factors to calculate the LCM of 5064 and 5068.

LCM(5064,5068) = 2³ × 3¹ × 211¹ × 7¹ × 181¹
LCM(5064,5068) = 6416088