What is the Least Common Multiple of 65219 and 65234?

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 65219 and 65234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65219 and 65234, than apply into the LCM equation.

GCF(65219,65234) = 1
LCM(65219,65234) = ( 65219 × 65234) / 1
LCM(65219,65234) = 4254496246 / 1
LCM(65219,65234) = 4254496246

Least Common Multiple (LCM) of 65219 and 65234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65219 and 65234. First we will calculate the prime factors of 65219 and 65234.

Prime Factorization of 65219

Prime Factorization of 65234

Now multiplying the highest exponent prime factors to calculate the LCM of 65219 and 65234.

LCM(65219,65234) = 7² × 11³ × 2¹ × 13² × 193¹
LCM(65219,65234) = 4254496246