GCF and LCM Calculator Logo

What is the Least Common Multiple of 9554 and 9572?

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 9554 and 9572 is 45725444.

LCM(9554,9572) = 45725444

LCM Calculator and
and

Least Common Multiple of 9554 and 9572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9554 and 9572, than apply into the LCM equation.

GCF(9554,9572) = 2
LCM(9554,9572) = ( 9554 × 9572) / 2
LCM(9554,9572) = 91450888 / 2
LCM(9554,9572) = 45725444

Least Common Multiple (LCM) of 9554 and 9572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9554 and 9572. First we will calculate the prime factors of 9554 and 9572.

Prime Factorization of 9554

Prime factors of 9554 are 2, 17, 281. Prime factorization of 9554 in exponential form is:

9554 = 21 × 171 × 2811

Prime Factorization of 9572

Prime factors of 9572 are 2, 2393. Prime factorization of 9572 in exponential form is:

9572 = 22 × 23931

Now multiplying the highest exponent prime factors to calculate the LCM of 9554 and 9572.

LCM(9554,9572) = 22 × 171 × 2811 × 23931
LCM(9554,9572) = 45725444