What is the Least Common Multiple of 52912 and 52926?

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 52912 and 52926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52912 and 52926, than apply into the LCM equation.

GCF(52912,52926) = 2
LCM(52912,52926) = ( 52912 × 52926) / 2
LCM(52912,52926) = 2800420512 / 2
LCM(52912,52926) = 1400210256

Least Common Multiple (LCM) of 52912 and 52926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52912 and 52926. First we will calculate the prime factors of 52912 and 52926.

Prime Factorization of 52912

Prime Factorization of 52926

Now multiplying the highest exponent prime factors to calculate the LCM of 52912 and 52926.

LCM(52912,52926) = 2⁴ × 3307¹ × 3¹ × 8821¹
LCM(52912,52926) = 1400210256