What is the Least Common Multiple of 33397 and 33411?

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 33397 and 33411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33397 and 33411, than apply into the LCM equation.

GCF(33397,33411) = 7
LCM(33397,33411) = ( 33397 × 33411) / 7
LCM(33397,33411) = 1115827167 / 7
LCM(33397,33411) = 159403881

Least Common Multiple (LCM) of 33397 and 33411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33397 and 33411. First we will calculate the prime factors of 33397 and 33411.

Prime Factorization of 33397

Prime Factorization of 33411

Now multiplying the highest exponent prime factors to calculate the LCM of 33397 and 33411.

LCM(33397,33411) = 7¹ × 13¹ × 367¹ × 3¹ × 37¹ × 43¹
LCM(33397,33411) = 159403881