What is the Least Common Multiple of 96709 and 96713?

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 96709 and 96713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96709 and 96713, than apply into the LCM equation.

GCF(96709,96713) = 1
LCM(96709,96713) = ( 96709 × 96713) / 1
LCM(96709,96713) = 9353017517 / 1
LCM(96709,96713) = 9353017517

Least Common Multiple (LCM) of 96709 and 96713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96709 and 96713. First we will calculate the prime factors of 96709 and 96713.

Prime Factorization of 96709

Prime Factorization of 96713

Now multiplying the highest exponent prime factors to calculate the LCM of 96709 and 96713.

LCM(96709,96713) = 97¹ × 997¹ × 17¹ × 5689¹
LCM(96709,96713) = 9353017517