What is the Least Common Multiple of 28524 and 28542?

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 28524 and 28542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28524 and 28542, than apply into the LCM equation.

GCF(28524,28542) = 6
LCM(28524,28542) = ( 28524 × 28542) / 6
LCM(28524,28542) = 814132008 / 6
LCM(28524,28542) = 135688668

Least Common Multiple (LCM) of 28524 and 28542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28524 and 28542. First we will calculate the prime factors of 28524 and 28542.

Prime Factorization of 28524

Prime Factorization of 28542

Now multiplying the highest exponent prime factors to calculate the LCM of 28524 and 28542.

LCM(28524,28542) = 2² × 3¹ × 2377¹ × 67¹ × 71¹
LCM(28524,28542) = 135688668