GCF and LCM Calculator Logo

What is the Least Common Multiple of 96549 and 96556?

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 (LCM) of 96549 and 96556 is 9322385244.

LCM(96549,96556) = 9322385244

LCM Calculator and
and

Least Common Multiple of 96549 and 96556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96549 and 96556, than apply into the LCM equation.

GCF(96549,96556) = 1
LCM(96549,96556) = ( 96549 × 96556) / 1
LCM(96549,96556) = 9322385244 / 1
LCM(96549,96556) = 9322385244

Least Common Multiple (LCM) of 96549 and 96556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96549 and 96556. First we will calculate the prime factors of 96549 and 96556.

Prime Factorization of 96549

Prime factors of 96549 are 3, 32183. Prime factorization of 96549 in exponential form is:

96549 = 31 × 321831

Prime Factorization of 96556

Prime factors of 96556 are 2, 101, 239. Prime factorization of 96556 in exponential form is:

96556 = 22 × 1011 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 96549 and 96556.

LCM(96549,96556) = 31 × 321831 × 22 × 1011 × 2391
LCM(96549,96556) = 9322385244