What is the Least Common Multiple of 59000 and 59010?

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 59000 and 59010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59000 and 59010, than apply into the LCM equation.

GCF(59000,59010) = 10
LCM(59000,59010) = ( 59000 × 59010) / 10
LCM(59000,59010) = 3481590000 / 10
LCM(59000,59010) = 348159000

Least Common Multiple (LCM) of 59000 and 59010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59000 and 59010. First we will calculate the prime factors of 59000 and 59010.

Prime Factorization of 59000

Prime Factorization of 59010

Now multiplying the highest exponent prime factors to calculate the LCM of 59000 and 59010.

LCM(59000,59010) = 2³ × 5³ × 59¹ × 3¹ × 7¹ × 281¹
LCM(59000,59010) = 348159000