What is the Least Common Multiple of 29010 and 29030?

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 29010 and 29030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29010 and 29030, than apply into the LCM equation.

GCF(29010,29030) = 10
LCM(29010,29030) = ( 29010 × 29030) / 10
LCM(29010,29030) = 842160300 / 10
LCM(29010,29030) = 84216030

Least Common Multiple (LCM) of 29010 and 29030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29010 and 29030. First we will calculate the prime factors of 29010 and 29030.

Prime Factorization of 29010

Prime Factorization of 29030

Now multiplying the highest exponent prime factors to calculate the LCM of 29010 and 29030.

LCM(29010,29030) = 2¹ × 3¹ × 5¹ × 967¹ × 2903¹
LCM(29010,29030) = 84216030