What is the Least Common Multiple of 9696 and 9706?

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 9696 and 9706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9696 and 9706, than apply into the LCM equation.

GCF(9696,9706) = 2
LCM(9696,9706) = ( 9696 × 9706) / 2
LCM(9696,9706) = 94109376 / 2
LCM(9696,9706) = 47054688

Least Common Multiple (LCM) of 9696 and 9706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9696 and 9706. First we will calculate the prime factors of 9696 and 9706.

Prime Factorization of 9696

Prime Factorization of 9706

Now multiplying the highest exponent prime factors to calculate the LCM of 9696 and 9706.

LCM(9696,9706) = 2⁵ × 3¹ × 101¹ × 23¹ × 211¹
LCM(9696,9706) = 47054688