What is the Least Common Multiple of 30209 and 30219?

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 30209 and 30219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30209 and 30219, than apply into the LCM equation.

GCF(30209,30219) = 1
LCM(30209,30219) = ( 30209 × 30219) / 1
LCM(30209,30219) = 912885771 / 1
LCM(30209,30219) = 912885771

Least Common Multiple (LCM) of 30209 and 30219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30209 and 30219. First we will calculate the prime factors of 30209 and 30219.

Prime Factorization of 30209

Prime Factorization of 30219

Now multiplying the highest exponent prime factors to calculate the LCM of 30209 and 30219.

LCM(30209,30219) = 17¹ × 1777¹ × 3¹ × 7¹ × 1439¹
LCM(30209,30219) = 912885771