What is the Least Common Multiple of 52864 and 52878?

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 52864 and 52878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52864 and 52878, than apply into the LCM equation.

GCF(52864,52878) = 14
LCM(52864,52878) = ( 52864 × 52878) / 14
LCM(52864,52878) = 2795342592 / 14
LCM(52864,52878) = 199667328

Least Common Multiple (LCM) of 52864 and 52878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52864 and 52878. First we will calculate the prime factors of 52864 and 52878.

Prime Factorization of 52864

Prime Factorization of 52878

Now multiplying the highest exponent prime factors to calculate the LCM of 52864 and 52878.

LCM(52864,52878) = 2⁷ × 7¹ × 59¹ × 3¹ × 1259¹
LCM(52864,52878) = 199667328