What is the Least Common Multiple of 28270 and 28285?

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 28270 and 28285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28270 and 28285, than apply into the LCM equation.

GCF(28270,28285) = 5
LCM(28270,28285) = ( 28270 × 28285) / 5
LCM(28270,28285) = 799616950 / 5
LCM(28270,28285) = 159923390

Least Common Multiple (LCM) of 28270 and 28285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28270 and 28285. First we will calculate the prime factors of 28270 and 28285.

Prime Factorization of 28270

Prime Factorization of 28285

Now multiplying the highest exponent prime factors to calculate the LCM of 28270 and 28285.

LCM(28270,28285) = 2¹ × 5¹ × 11¹ × 257¹ × 5657¹
LCM(28270,28285) = 159923390