GCF and LCM Calculator Logo

What is the Least Common Multiple of 9605 and 9621?

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 9605 and 9621 is 92409705.

LCM(9605,9621) = 92409705

LCM Calculator and
and

Least Common Multiple of 9605 and 9621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9605 and 9621, than apply into the LCM equation.

GCF(9605,9621) = 1
LCM(9605,9621) = ( 9605 × 9621) / 1
LCM(9605,9621) = 92409705 / 1
LCM(9605,9621) = 92409705

Least Common Multiple (LCM) of 9605 and 9621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9605 and 9621. First we will calculate the prime factors of 9605 and 9621.

Prime Factorization of 9605

Prime factors of 9605 are 5, 17, 113. Prime factorization of 9605 in exponential form is:

9605 = 51 × 171 × 1131

Prime Factorization of 9621

Prime factors of 9621 are 3, 1069. Prime factorization of 9621 in exponential form is:

9621 = 32 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 9605 and 9621.

LCM(9605,9621) = 51 × 171 × 1131 × 32 × 10691
LCM(9605,9621) = 92409705