What is the Least Common Multiple of 52010 and 52028?

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 52010 and 52028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52010 and 52028, than apply into the LCM equation.

GCF(52010,52028) = 2
LCM(52010,52028) = ( 52010 × 52028) / 2
LCM(52010,52028) = 2705976280 / 2
LCM(52010,52028) = 1352988140

Least Common Multiple (LCM) of 52010 and 52028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52010 and 52028. First we will calculate the prime factors of 52010 and 52028.

Prime Factorization of 52010

Prime Factorization of 52028

Now multiplying the highest exponent prime factors to calculate the LCM of 52010 and 52028.

LCM(52010,52028) = 2² × 5¹ × 7¹ × 743¹ × 13007¹
LCM(52010,52028) = 1352988140