What is the Least Common Multiple of 39538 and 39544?

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 39538 and 39544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39538 and 39544, than apply into the LCM equation.

GCF(39538,39544) = 2
LCM(39538,39544) = ( 39538 × 39544) / 2
LCM(39538,39544) = 1563490672 / 2
LCM(39538,39544) = 781745336

Least Common Multiple (LCM) of 39538 and 39544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39538 and 39544. First we will calculate the prime factors of 39538 and 39544.

Prime Factorization of 39538

Prime Factorization of 39544

Now multiplying the highest exponent prime factors to calculate the LCM of 39538 and 39544.

LCM(39538,39544) = 2³ × 53¹ × 373¹ × 4943¹
LCM(39538,39544) = 781745336