What is the Least Common Multiple of 10020 and 10030?

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 10020 and 10030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10020 and 10030, than apply into the LCM equation.

GCF(10020,10030) = 10
LCM(10020,10030) = ( 10020 × 10030) / 10
LCM(10020,10030) = 100500600 / 10
LCM(10020,10030) = 10050060

Least Common Multiple (LCM) of 10020 and 10030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10020 and 10030. First we will calculate the prime factors of 10020 and 10030.

Prime Factorization of 10020

Prime Factorization of 10030

Now multiplying the highest exponent prime factors to calculate the LCM of 10020 and 10030.

LCM(10020,10030) = 2² × 3¹ × 5¹ × 167¹ × 17¹ × 59¹
LCM(10020,10030) = 10050060