What is the Least Common Multiple of 72205 and 72219?

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 72205 and 72219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72205 and 72219, than apply into the LCM equation.

GCF(72205,72219) = 7
LCM(72205,72219) = ( 72205 × 72219) / 7
LCM(72205,72219) = 5214572895 / 7
LCM(72205,72219) = 744938985

Least Common Multiple (LCM) of 72205 and 72219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72205 and 72219. First we will calculate the prime factors of 72205 and 72219.

Prime Factorization of 72205

Prime Factorization of 72219

Now multiplying the highest exponent prime factors to calculate the LCM of 72205 and 72219.

LCM(72205,72219) = 5¹ × 7¹ × 2063¹ × 3¹ × 19¹ × 181¹
LCM(72205,72219) = 744938985