What is the Least Common Multiple of 83902 and 83909?

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 83902 and 83909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83902 and 83909, than apply into the LCM equation.

GCF(83902,83909) = 7
LCM(83902,83909) = ( 83902 × 83909) / 7
LCM(83902,83909) = 7040132918 / 7
LCM(83902,83909) = 1005733274

Least Common Multiple (LCM) of 83902 and 83909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83902 and 83909. First we will calculate the prime factors of 83902 and 83909.

Prime Factorization of 83902

Prime Factorization of 83909

Now multiplying the highest exponent prime factors to calculate the LCM of 83902 and 83909.

LCM(83902,83909) = 2¹ × 7¹ × 13¹ × 461¹ × 11987¹
LCM(83902,83909) = 1005733274