What is the Least Common Multiple of 10020 and 10034?

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 10034 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 10034, than apply into the LCM equation.

GCF(10020,10034) = 2
LCM(10020,10034) = ( 10020 × 10034) / 2
LCM(10020,10034) = 100540680 / 2
LCM(10020,10034) = 50270340

Least Common Multiple (LCM) of 10020 and 10034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10020 and 10034. First we will calculate the prime factors of 10020 and 10034.

Prime Factorization of 10020

Prime Factorization of 10034

Now multiplying the highest exponent prime factors to calculate the LCM of 10020 and 10034.

LCM(10020,10034) = 2² × 3¹ × 5¹ × 167¹ × 29¹ × 173¹
LCM(10020,10034) = 50270340