What is the Least Common Multiple of 52832 and 52849?

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 52832 and 52849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52832 and 52849, than apply into the LCM equation.

GCF(52832,52849) = 1
LCM(52832,52849) = ( 52832 × 52849) / 1
LCM(52832,52849) = 2792118368 / 1
LCM(52832,52849) = 2792118368

Least Common Multiple (LCM) of 52832 and 52849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52832 and 52849. First we will calculate the prime factors of 52832 and 52849.

Prime Factorization of 52832

Prime Factorization of 52849

Now multiplying the highest exponent prime factors to calculate the LCM of 52832 and 52849.

LCM(52832,52849) = 2⁵ × 13¹ × 127¹ × 41¹ × 1289¹
LCM(52832,52849) = 2792118368