What is the Least Common Multiple of 28378 and 28390?

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 28378 and 28390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28378 and 28390, than apply into the LCM equation.

GCF(28378,28390) = 2
LCM(28378,28390) = ( 28378 × 28390) / 2
LCM(28378,28390) = 805651420 / 2
LCM(28378,28390) = 402825710

Least Common Multiple (LCM) of 28378 and 28390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28378 and 28390. First we will calculate the prime factors of 28378 and 28390.

Prime Factorization of 28378

Prime Factorization of 28390

Now multiplying the highest exponent prime factors to calculate the LCM of 28378 and 28390.

LCM(28378,28390) = 2¹ × 7¹ × 2027¹ × 5¹ × 17¹ × 167¹
LCM(28378,28390) = 402825710