What is the Least Common Multiple of 97688 and 97696?

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 97688 and 97696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97688 and 97696, than apply into the LCM equation.

GCF(97688,97696) = 8
LCM(97688,97696) = ( 97688 × 97696) / 8
LCM(97688,97696) = 9543726848 / 8
LCM(97688,97696) = 1192965856

Least Common Multiple (LCM) of 97688 and 97696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97688 and 97696. First we will calculate the prime factors of 97688 and 97696.

Prime Factorization of 97688

Prime Factorization of 97696

Now multiplying the highest exponent prime factors to calculate the LCM of 97688 and 97696.

LCM(97688,97696) = 2⁵ × 12211¹ × 43¹ × 71¹
LCM(97688,97696) = 1192965856