What is the Least Common Multiple of 83219 and 83239?

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 83219 and 83239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83219 and 83239, than apply into the LCM equation.

GCF(83219,83239) = 1
LCM(83219,83239) = ( 83219 × 83239) / 1
LCM(83219,83239) = 6927066341 / 1
LCM(83219,83239) = 6927066341

Least Common Multiple (LCM) of 83219 and 83239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83219 and 83239. First we will calculate the prime factors of 83219 and 83239.

Prime Factorization of 83219

Prime Factorization of 83239

Now multiplying the highest exponent prime factors to calculate the LCM of 83219 and 83239.

LCM(83219,83239) = 83219¹ × 13¹ × 19¹ × 337¹
LCM(83219,83239) = 6927066341