What is the Least Common Multiple of 28520 and 28535?

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 28535 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 28535, than apply into the LCM equation.

GCF(28520,28535) = 5
LCM(28520,28535) = ( 28520 × 28535) / 5
LCM(28520,28535) = 813818200 / 5
LCM(28520,28535) = 162763640

Least Common Multiple (LCM) of 28520 and 28535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28520 and 28535. First we will calculate the prime factors of 28520 and 28535.

Prime Factorization of 28520

Prime Factorization of 28535

Now multiplying the highest exponent prime factors to calculate the LCM of 28520 and 28535.

LCM(28520,28535) = 2³ × 5¹ × 23¹ × 31¹ × 13¹ × 439¹
LCM(28520,28535) = 162763640