What is the Least Common Multiple of 28026 and 28045?

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 28026 and 28045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28026 and 28045, than apply into the LCM equation.

GCF(28026,28045) = 1
LCM(28026,28045) = ( 28026 × 28045) / 1
LCM(28026,28045) = 785989170 / 1
LCM(28026,28045) = 785989170

Least Common Multiple (LCM) of 28026 and 28045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28026 and 28045. First we will calculate the prime factors of 28026 and 28045.

Prime Factorization of 28026

Prime Factorization of 28045

Now multiplying the highest exponent prime factors to calculate the LCM of 28026 and 28045.

LCM(28026,28045) = 2¹ × 3⁴ × 173¹ × 5¹ × 71¹ × 79¹
LCM(28026,28045) = 785989170