What is the Least Common Multiple of 5052 and 5067?

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 5052 and 5067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5052 and 5067, than apply into the LCM equation.

GCF(5052,5067) = 3
LCM(5052,5067) = ( 5052 × 5067) / 3
LCM(5052,5067) = 25598484 / 3
LCM(5052,5067) = 8532828

Least Common Multiple (LCM) of 5052 and 5067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5052 and 5067. First we will calculate the prime factors of 5052 and 5067.

Prime Factorization of 5052

Prime Factorization of 5067

Now multiplying the highest exponent prime factors to calculate the LCM of 5052 and 5067.

LCM(5052,5067) = 2² × 3² × 421¹ × 563¹
LCM(5052,5067) = 8532828