What is the Least Common Multiple of 59404 and 59423?

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 59404 and 59423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59404 and 59423, than apply into the LCM equation.

GCF(59404,59423) = 1
LCM(59404,59423) = ( 59404 × 59423) / 1
LCM(59404,59423) = 3529963892 / 1
LCM(59404,59423) = 3529963892

Least Common Multiple (LCM) of 59404 and 59423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59404 and 59423. First we will calculate the prime factors of 59404 and 59423.

Prime Factorization of 59404

Prime Factorization of 59423

Now multiplying the highest exponent prime factors to calculate the LCM of 59404 and 59423.

LCM(59404,59423) = 2² × 14851¹ × 7¹ × 13¹ × 653¹
LCM(59404,59423) = 3529963892