What is the Least Common Multiple of 28520 and 28538?

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 28520 and 28538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28520 and 28538, than apply into the LCM equation.

GCF(28520,28538) = 2
LCM(28520,28538) = ( 28520 × 28538) / 2
LCM(28520,28538) = 813903760 / 2
LCM(28520,28538) = 406951880

Least Common Multiple (LCM) of 28520 and 28538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28520 and 28538. First we will calculate the prime factors of 28520 and 28538.

Prime Factorization of 28520

Prime Factorization of 28538

Now multiplying the highest exponent prime factors to calculate the LCM of 28520 and 28538.

LCM(28520,28538) = 2³ × 5¹ × 23¹ × 31¹ × 19¹ × 751¹
LCM(28520,28538) = 406951880