What is the Least Common Multiple of 71685 and 71697?

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 71685 and 71697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71685 and 71697, than apply into the LCM equation.

GCF(71685,71697) = 3
LCM(71685,71697) = ( 71685 × 71697) / 3
LCM(71685,71697) = 5139599445 / 3
LCM(71685,71697) = 1713199815

Least Common Multiple (LCM) of 71685 and 71697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71685 and 71697. First we will calculate the prime factors of 71685 and 71697.

Prime Factorization of 71685

Prime Factorization of 71697

Now multiplying the highest exponent prime factors to calculate the LCM of 71685 and 71697.

LCM(71685,71697) = 3⁵ × 5¹ × 59¹ × 23899¹
LCM(71685,71697) = 1713199815