What is the Least Common Multiple of 20076 and 20089?

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 20076 and 20089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20076 and 20089, than apply into the LCM equation.

GCF(20076,20089) = 1
LCM(20076,20089) = ( 20076 × 20089) / 1
LCM(20076,20089) = 403306764 / 1
LCM(20076,20089) = 403306764

Least Common Multiple (LCM) of 20076 and 20089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20076 and 20089. First we will calculate the prime factors of 20076 and 20089.

Prime Factorization of 20076

Prime Factorization of 20089

Now multiplying the highest exponent prime factors to calculate the LCM of 20076 and 20089.

LCM(20076,20089) = 2² × 3¹ × 7¹ × 239¹ × 20089¹
LCM(20076,20089) = 403306764