What is the Least Common Multiple of 83295 and 83305?

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 83295 and 83305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83295 and 83305, than apply into the LCM equation.

GCF(83295,83305) = 5
LCM(83295,83305) = ( 83295 × 83305) / 5
LCM(83295,83305) = 6938889975 / 5
LCM(83295,83305) = 1387777995

Least Common Multiple (LCM) of 83295 and 83305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83295 and 83305. First we will calculate the prime factors of 83295 and 83305.

Prime Factorization of 83295

Prime Factorization of 83305

Now multiplying the highest exponent prime factors to calculate the LCM of 83295 and 83305.

LCM(83295,83305) = 3³ × 5¹ × 617¹ × 16661¹
LCM(83295,83305) = 1387777995