What is the Least Common Multiple of 28446 and 28450?

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 28446 and 28450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28446 and 28450, than apply into the LCM equation.

GCF(28446,28450) = 2
LCM(28446,28450) = ( 28446 × 28450) / 2
LCM(28446,28450) = 809288700 / 2
LCM(28446,28450) = 404644350

Least Common Multiple (LCM) of 28446 and 28450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28446 and 28450. First we will calculate the prime factors of 28446 and 28450.

Prime Factorization of 28446

Prime Factorization of 28450

Now multiplying the highest exponent prime factors to calculate the LCM of 28446 and 28450.

LCM(28446,28450) = 2¹ × 3¹ × 11¹ × 431¹ × 5² × 569¹
LCM(28446,28450) = 404644350