What is the Least Common Multiple of 9212 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 of 9212 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 9212 and 9219, than apply into the LCM equation.

GCF(9212,9219) = 7
LCM(9212,9219) = ( 9212 × 9219) / 7
LCM(9212,9219) = 84925428 / 7
LCM(9212,9219) = 12132204

Least Common Multiple (LCM) of 9212 and 9219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9212 and 9219. First we will calculate the prime factors of 9212 and 9219.

Prime Factorization of 9212

Prime Factorization of 9219

Now multiplying the highest exponent prime factors to calculate the LCM of 9212 and 9219.

LCM(9212,9219) = 2² × 7² × 47¹ × 3¹ × 439¹
LCM(9212,9219) = 12132204