What is the Least Common Multiple of 28026 and 28030?

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 28030 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 28030, than apply into the LCM equation.

GCF(28026,28030) = 2
LCM(28026,28030) = ( 28026 × 28030) / 2
LCM(28026,28030) = 785568780 / 2
LCM(28026,28030) = 392784390

Least Common Multiple (LCM) of 28026 and 28030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28026 and 28030. First we will calculate the prime factors of 28026 and 28030.

Prime Factorization of 28026

Prime Factorization of 28030

Now multiplying the highest exponent prime factors to calculate the LCM of 28026 and 28030.

LCM(28026,28030) = 2¹ × 3⁴ × 173¹ × 5¹ × 2803¹
LCM(28026,28030) = 392784390