What is the Least Common Multiple of 52906 and 52918?

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 52906 and 52918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52906 and 52918, than apply into the LCM equation.

GCF(52906,52918) = 2
LCM(52906,52918) = ( 52906 × 52918) / 2
LCM(52906,52918) = 2799679708 / 2
LCM(52906,52918) = 1399839854

Least Common Multiple (LCM) of 52906 and 52918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52906 and 52918. First we will calculate the prime factors of 52906 and 52918.

Prime Factorization of 52906

Prime Factorization of 52918

Now multiplying the highest exponent prime factors to calculate the LCM of 52906 and 52918.

LCM(52906,52918) = 2¹ × 7¹ × 3779¹ × 26459¹
LCM(52906,52918) = 1399839854