What is the Least Common Multiple of 83110 and 83122?

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 83110 and 83122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83110 and 83122, than apply into the LCM equation.

GCF(83110,83122) = 2
LCM(83110,83122) = ( 83110 × 83122) / 2
LCM(83110,83122) = 6908269420 / 2
LCM(83110,83122) = 3454134710

Least Common Multiple (LCM) of 83110 and 83122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83110 and 83122. First we will calculate the prime factors of 83110 and 83122.

Prime Factorization of 83110

Prime Factorization of 83122

Now multiplying the highest exponent prime factors to calculate the LCM of 83110 and 83122.

LCM(83110,83122) = 2¹ × 5¹ × 8311¹ × 13¹ × 23¹ × 139¹
LCM(83110,83122) = 3454134710