What is the Least Common Multiple of 32708 and 32713?

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 32708 and 32713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32708 and 32713, than apply into the LCM equation.

GCF(32708,32713) = 1
LCM(32708,32713) = ( 32708 × 32713) / 1
LCM(32708,32713) = 1069976804 / 1
LCM(32708,32713) = 1069976804

Least Common Multiple (LCM) of 32708 and 32713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32708 and 32713. First we will calculate the prime factors of 32708 and 32713.

Prime Factorization of 32708

Prime Factorization of 32713

Now multiplying the highest exponent prime factors to calculate the LCM of 32708 and 32713.

LCM(32708,32713) = 2² × 13¹ × 17¹ × 37¹ × 32713¹
LCM(32708,32713) = 1069976804