What is the Least Common Multiple of 97709 and 97719?

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 97709 and 97719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97709 and 97719, than apply into the LCM equation.

GCF(97709,97719) = 1
LCM(97709,97719) = ( 97709 × 97719) / 1
LCM(97709,97719) = 9548025771 / 1
LCM(97709,97719) = 9548025771

Least Common Multiple (LCM) of 97709 and 97719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97709 and 97719. First we will calculate the prime factors of 97709 and 97719.

Prime Factorization of 97709

Prime Factorization of 97719

Now multiplying the highest exponent prime factors to calculate the LCM of 97709 and 97719.

LCM(97709,97719) = 199¹ × 491¹ × 3¹ × 32573¹
LCM(97709,97719) = 9548025771