What is the Least Common Multiple of 59010 and 59028?

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 59010 and 59028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59010 and 59028, than apply into the LCM equation.

GCF(59010,59028) = 6
LCM(59010,59028) = ( 59010 × 59028) / 6
LCM(59010,59028) = 3483242280 / 6
LCM(59010,59028) = 580540380

Least Common Multiple (LCM) of 59010 and 59028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59010 and 59028. First we will calculate the prime factors of 59010 and 59028.

Prime Factorization of 59010

Prime Factorization of 59028

Now multiplying the highest exponent prime factors to calculate the LCM of 59010 and 59028.

LCM(59010,59028) = 2² × 3¹ × 5¹ × 7¹ × 281¹ × 4919¹
LCM(59010,59028) = 580540380