What is the Least Common Multiple of 59383 and 59388?

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 59383 and 59388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59383 and 59388, than apply into the LCM equation.

GCF(59383,59388) = 1
LCM(59383,59388) = ( 59383 × 59388) / 1
LCM(59383,59388) = 3526637604 / 1
LCM(59383,59388) = 3526637604

Least Common Multiple (LCM) of 59383 and 59388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59383 and 59388. First we will calculate the prime factors of 59383 and 59388.

Prime Factorization of 59383

Prime Factorization of 59388

Now multiplying the highest exponent prime factors to calculate the LCM of 59383 and 59388.

LCM(59383,59388) = 43¹ × 1381¹ × 2² × 3¹ × 7² × 101¹
LCM(59383,59388) = 3526637604