What is the Least Common Multiple of 39549 and 39568?

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 39549 and 39568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39549 and 39568, than apply into the LCM equation.

GCF(39549,39568) = 1
LCM(39549,39568) = ( 39549 × 39568) / 1
LCM(39549,39568) = 1564874832 / 1
LCM(39549,39568) = 1564874832

Least Common Multiple (LCM) of 39549 and 39568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39549 and 39568. First we will calculate the prime factors of 39549 and 39568.

Prime Factorization of 39549

Prime Factorization of 39568

Now multiplying the highest exponent prime factors to calculate the LCM of 39549 and 39568.

LCM(39549,39568) = 3¹ × 13183¹ × 2⁴ × 2473¹
LCM(39549,39568) = 1564874832