What is the Least Common Multiple of 5076 and 5089?

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 5076 and 5089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5076 and 5089, than apply into the LCM equation.

GCF(5076,5089) = 1
LCM(5076,5089) = ( 5076 × 5089) / 1
LCM(5076,5089) = 25831764 / 1
LCM(5076,5089) = 25831764

Least Common Multiple (LCM) of 5076 and 5089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5076 and 5089. First we will calculate the prime factors of 5076 and 5089.

Prime Factorization of 5076

Prime Factorization of 5089

Now multiplying the highest exponent prime factors to calculate the LCM of 5076 and 5089.

LCM(5076,5089) = 2² × 3³ × 47¹ × 7¹ × 727¹
LCM(5076,5089) = 25831764