What is the Least Common Multiple of 83609 and 83613?

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 83609 and 83613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83609 and 83613, than apply into the LCM equation.

GCF(83609,83613) = 1
LCM(83609,83613) = ( 83609 × 83613) / 1
LCM(83609,83613) = 6990799317 / 1
LCM(83609,83613) = 6990799317

Least Common Multiple (LCM) of 83609 and 83613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83609 and 83613. First we will calculate the prime factors of 83609 and 83613.

Prime Factorization of 83609

Prime Factorization of 83613

Now multiplying the highest exponent prime factors to calculate the LCM of 83609 and 83613.

LCM(83609,83613) = 83609¹ × 3¹ × 47¹ × 593¹
LCM(83609,83613) = 6990799317