GCF and LCM Calculator Logo

What is the Least Common Multiple of 9208 and 9219?

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 9208 and 9219 is 84888552.

LCM(9208,9219) = 84888552

LCM Calculator and
and

Least Common Multiple of 9208 and 9219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9208 and 9219, than apply into the LCM equation.

GCF(9208,9219) = 1
LCM(9208,9219) = ( 9208 × 9219) / 1
LCM(9208,9219) = 84888552 / 1
LCM(9208,9219) = 84888552

Least Common Multiple (LCM) of 9208 and 9219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9208 and 9219. First we will calculate the prime factors of 9208 and 9219.

Prime Factorization of 9208

Prime factors of 9208 are 2, 1151. Prime factorization of 9208 in exponential form is:

9208 = 23 × 11511

Prime Factorization of 9219

Prime factors of 9219 are 3, 7, 439. Prime factorization of 9219 in exponential form is:

9219 = 31 × 71 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 9208 and 9219.

LCM(9208,9219) = 23 × 11511 × 31 × 71 × 4391
LCM(9208,9219) = 84888552