What is the Least Common Multiple of 28535 and 28541?

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 28535 and 28541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28535 and 28541, than apply into the LCM equation.

GCF(28535,28541) = 1
LCM(28535,28541) = ( 28535 × 28541) / 1
LCM(28535,28541) = 814417435 / 1
LCM(28535,28541) = 814417435

Least Common Multiple (LCM) of 28535 and 28541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28535 and 28541. First we will calculate the prime factors of 28535 and 28541.

Prime Factorization of 28535

Prime Factorization of 28541

Now multiplying the highest exponent prime factors to calculate the LCM of 28535 and 28541.

LCM(28535,28541) = 5¹ × 13¹ × 439¹ × 28541¹
LCM(28535,28541) = 814417435