What is the Least Common Multiple of 52815 and 52830?

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 52815 and 52830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52815 and 52830, than apply into the LCM equation.

GCF(52815,52830) = 15
LCM(52815,52830) = ( 52815 × 52830) / 15
LCM(52815,52830) = 2790216450 / 15
LCM(52815,52830) = 186014430

Least Common Multiple (LCM) of 52815 and 52830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52815 and 52830. First we will calculate the prime factors of 52815 and 52830.

Prime Factorization of 52815

Prime Factorization of 52830

Now multiplying the highest exponent prime factors to calculate the LCM of 52815 and 52830.

LCM(52815,52830) = 3² × 5¹ × 7¹ × 503¹ × 2¹ × 587¹
LCM(52815,52830) = 186014430