What is the Least Common Multiple of 52312 and 52326?

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 52312 and 52326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52312 and 52326, than apply into the LCM equation.

GCF(52312,52326) = 2
LCM(52312,52326) = ( 52312 × 52326) / 2
LCM(52312,52326) = 2737277712 / 2
LCM(52312,52326) = 1368638856

Least Common Multiple (LCM) of 52312 and 52326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52312 and 52326. First we will calculate the prime factors of 52312 and 52326.

Prime Factorization of 52312

Prime Factorization of 52326

Now multiplying the highest exponent prime factors to calculate the LCM of 52312 and 52326.

LCM(52312,52326) = 2³ × 13¹ × 503¹ × 3⁴ × 17¹ × 19¹
LCM(52312,52326) = 1368638856