What is the Least Common Multiple of 97696 and 97716?

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 97696 and 97716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97696 and 97716, than apply into the LCM equation.

GCF(97696,97716) = 4
LCM(97696,97716) = ( 97696 × 97716) / 4
LCM(97696,97716) = 9546462336 / 4
LCM(97696,97716) = 2386615584

Least Common Multiple (LCM) of 97696 and 97716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97696 and 97716. First we will calculate the prime factors of 97696 and 97716.

Prime Factorization of 97696

Prime Factorization of 97716

Now multiplying the highest exponent prime factors to calculate the LCM of 97696 and 97716.

LCM(97696,97716) = 2⁵ × 43¹ × 71¹ × 3¹ × 17¹ × 479¹
LCM(97696,97716) = 2386615584