What is the Least Common Multiple of 83135 and 83141?

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 83135 and 83141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83135 and 83141, than apply into the LCM equation.

GCF(83135,83141) = 1
LCM(83135,83141) = ( 83135 × 83141) / 1
LCM(83135,83141) = 6911927035 / 1
LCM(83135,83141) = 6911927035

Least Common Multiple (LCM) of 83135 and 83141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83135 and 83141. First we will calculate the prime factors of 83135 and 83141.

Prime Factorization of 83135

Prime Factorization of 83141

Now multiplying the highest exponent prime factors to calculate the LCM of 83135 and 83141.

LCM(83135,83141) = 5¹ × 13¹ × 1279¹ × 71¹ × 1171¹
LCM(83135,83141) = 6911927035