What is the Least Common Multiple of 59028 and 59043?

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 59028 and 59043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59028 and 59043, than apply into the LCM equation.

GCF(59028,59043) = 3
LCM(59028,59043) = ( 59028 × 59043) / 3
LCM(59028,59043) = 3485190204 / 3
LCM(59028,59043) = 1161730068

Least Common Multiple (LCM) of 59028 and 59043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59028 and 59043. First we will calculate the prime factors of 59028 and 59043.

Prime Factorization of 59028

Prime Factorization of 59043

Now multiplying the highest exponent prime factors to calculate the LCM of 59028 and 59043.

LCM(59028,59043) = 2² × 3¹ × 4919¹ × 19681¹
LCM(59028,59043) = 1161730068