What is the Least Common Multiple of 52065 and 52078?

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 52065 and 52078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52065 and 52078, than apply into the LCM equation.

GCF(52065,52078) = 13
LCM(52065,52078) = ( 52065 × 52078) / 13
LCM(52065,52078) = 2711441070 / 13
LCM(52065,52078) = 208572390

Least Common Multiple (LCM) of 52065 and 52078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52065 and 52078. First we will calculate the prime factors of 52065 and 52078.

Prime Factorization of 52065

Prime Factorization of 52078

Now multiplying the highest exponent prime factors to calculate the LCM of 52065 and 52078.

LCM(52065,52078) = 3² × 5¹ × 13¹ × 89¹ × 2¹ × 2003¹
LCM(52065,52078) = 208572390