What is the Least Common Multiple of 8219 and 8235?

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 8219 and 8235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8219 and 8235, than apply into the LCM equation.

GCF(8219,8235) = 1
LCM(8219,8235) = ( 8219 × 8235) / 1
LCM(8219,8235) = 67683465 / 1
LCM(8219,8235) = 67683465

Least Common Multiple (LCM) of 8219 and 8235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8219 and 8235. First we will calculate the prime factors of 8219 and 8235.

Prime Factorization of 8219

Prime Factorization of 8235

Now multiplying the highest exponent prime factors to calculate the LCM of 8219 and 8235.

LCM(8219,8235) = 8219¹ × 3³ × 5¹ × 61¹
LCM(8219,8235) = 67683465