What is the Least Common Multiple of 83103 and 83109?

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 83103 and 83109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83103 and 83109, than apply into the LCM equation.

GCF(83103,83109) = 3
LCM(83103,83109) = ( 83103 × 83109) / 3
LCM(83103,83109) = 6906607227 / 3
LCM(83103,83109) = 2302202409

Least Common Multiple (LCM) of 83103 and 83109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83103 and 83109. First we will calculate the prime factors of 83103 and 83109.

Prime Factorization of 83103

Prime Factorization of 83109

Now multiplying the highest exponent prime factors to calculate the LCM of 83103 and 83109.

LCM(83103,83109) = 3¹ × 27701¹ × 13¹ × 2131¹
LCM(83103,83109) = 2302202409