What is the Least Common Multiple of 99210 and 99219?

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 99210 and 99219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99210 and 99219, than apply into the LCM equation.

GCF(99210,99219) = 3
LCM(99210,99219) = ( 99210 × 99219) / 3
LCM(99210,99219) = 9843516990 / 3
LCM(99210,99219) = 3281172330

Least Common Multiple (LCM) of 99210 and 99219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99210 and 99219. First we will calculate the prime factors of 99210 and 99219.

Prime Factorization of 99210

Prime Factorization of 99219

Now multiplying the highest exponent prime factors to calculate the LCM of 99210 and 99219.

LCM(99210,99219) = 2¹ × 3¹ × 5¹ × 3307¹ × 33073¹
LCM(99210,99219) = 3281172330