What is the Least Common Multiple of 59331 and 59349?

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 59331 and 59349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59331 and 59349, than apply into the LCM equation.

GCF(59331,59349) = 3
LCM(59331,59349) = ( 59331 × 59349) / 3
LCM(59331,59349) = 3521235519 / 3
LCM(59331,59349) = 1173745173

Least Common Multiple (LCM) of 59331 and 59349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59331 and 59349. First we will calculate the prime factors of 59331 and 59349.

Prime Factorization of 59331

Prime Factorization of 59349

Now multiplying the highest exponent prime factors to calculate the LCM of 59331 and 59349.

LCM(59331,59349) = 3¹ × 19777¹ × 73¹ × 271¹
LCM(59331,59349) = 1173745173