GCF and LCM Calculator Logo

What is the Least Common Multiple of 52168 and 52178?

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 (LCM) of 52168 and 52178 is 1361010952.

LCM(52168,52178) = 1361010952

LCM Calculator and
and

Least Common Multiple of 52168 and 52178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52168 and 52178, than apply into the LCM equation.

GCF(52168,52178) = 2
LCM(52168,52178) = ( 52168 × 52178) / 2
LCM(52168,52178) = 2722021904 / 2
LCM(52168,52178) = 1361010952

Least Common Multiple (LCM) of 52168 and 52178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52168 and 52178. First we will calculate the prime factors of 52168 and 52178.

Prime Factorization of 52168

Prime factors of 52168 are 2, 6521. Prime factorization of 52168 in exponential form is:

52168 = 23 × 65211

Prime Factorization of 52178

Prime factors of 52178 are 2, 7, 3727. Prime factorization of 52178 in exponential form is:

52178 = 21 × 71 × 37271

Now multiplying the highest exponent prime factors to calculate the LCM of 52168 and 52178.

LCM(52168,52178) = 23 × 65211 × 71 × 37271
LCM(52168,52178) = 1361010952