What is the Least Common Multiple of 38552 and 38571?

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 38552 and 38571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38552 and 38571, than apply into the LCM equation.

GCF(38552,38571) = 1
LCM(38552,38571) = ( 38552 × 38571) / 1
LCM(38552,38571) = 1486989192 / 1
LCM(38552,38571) = 1486989192

Least Common Multiple (LCM) of 38552 and 38571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38552 and 38571. First we will calculate the prime factors of 38552 and 38571.

Prime Factorization of 38552

Prime Factorization of 38571

Now multiplying the highest exponent prime factors to calculate the LCM of 38552 and 38571.

LCM(38552,38571) = 2³ × 61¹ × 79¹ × 3¹ × 13¹ × 23¹ × 43¹
LCM(38552,38571) = 1486989192