What is the Least Common Multiple of 28519 and 28534?

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 28519 and 28534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28519 and 28534, than apply into the LCM equation.

GCF(28519,28534) = 1
LCM(28519,28534) = ( 28519 × 28534) / 1
LCM(28519,28534) = 813761146 / 1
LCM(28519,28534) = 813761146

Least Common Multiple (LCM) of 28519 and 28534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28519 and 28534. First we will calculate the prime factors of 28519 and 28534.

Prime Factorization of 28519

Prime Factorization of 28534

Now multiplying the highest exponent prime factors to calculate the LCM of 28519 and 28534.

LCM(28519,28534) = 19² × 79¹ × 2¹ × 11¹ × 1297¹
LCM(28519,28534) = 813761146