What is the Least Common Multiple of 66219 and 66229?

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 66219 and 66229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66219 and 66229, than apply into the LCM equation.

GCF(66219,66229) = 1
LCM(66219,66229) = ( 66219 × 66229) / 1
LCM(66219,66229) = 4385618151 / 1
LCM(66219,66229) = 4385618151

Least Common Multiple (LCM) of 66219 and 66229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66219 and 66229. First we will calculate the prime factors of 66219 and 66229.

Prime Factorization of 66219

Prime Factorization of 66229

Now multiplying the highest exponent prime factors to calculate the LCM of 66219 and 66229.

LCM(66219,66229) = 3¹ × 22073¹ × 103¹ × 643¹
LCM(66219,66229) = 4385618151