What is the Least Common Multiple of 39661 and 39671?

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 39661 and 39671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39661 and 39671, than apply into the LCM equation.

GCF(39661,39671) = 1
LCM(39661,39671) = ( 39661 × 39671) / 1
LCM(39661,39671) = 1573391531 / 1
LCM(39661,39671) = 1573391531

Least Common Multiple (LCM) of 39661 and 39671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39661 and 39671. First we will calculate the prime factors of 39661 and 39671.

Prime Factorization of 39661

Prime Factorization of 39671

Now multiplying the highest exponent prime factors to calculate the LCM of 39661 and 39671.

LCM(39661,39671) = 17¹ × 2333¹ × 39671¹
LCM(39661,39671) = 1573391531