What is the Least Common Multiple of 33905 and 33915?

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 33905 and 33915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33905 and 33915, than apply into the LCM equation.

GCF(33905,33915) = 5
LCM(33905,33915) = ( 33905 × 33915) / 5
LCM(33905,33915) = 1149888075 / 5
LCM(33905,33915) = 229977615

Least Common Multiple (LCM) of 33905 and 33915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33905 and 33915. First we will calculate the prime factors of 33905 and 33915.

Prime Factorization of 33905

Prime Factorization of 33915

Now multiplying the highest exponent prime factors to calculate the LCM of 33905 and 33915.

LCM(33905,33915) = 5¹ × 6781¹ × 3¹ × 7¹ × 17¹ × 19¹
LCM(33905,33915) = 229977615