What is the Least Common Multiple of 39549 and 39565?

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 39565 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 39565, than apply into the LCM equation.

GCF(39549,39565) = 1
LCM(39549,39565) = ( 39549 × 39565) / 1
LCM(39549,39565) = 1564756185 / 1
LCM(39549,39565) = 1564756185

Least Common Multiple (LCM) of 39549 and 39565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39549 and 39565. First we will calculate the prime factors of 39549 and 39565.

Prime Factorization of 39549

Prime Factorization of 39565

Now multiplying the highest exponent prime factors to calculate the LCM of 39549 and 39565.

LCM(39549,39565) = 3¹ × 13183¹ × 5¹ × 41¹ × 193¹
LCM(39549,39565) = 1564756185