What is the Least Common Multiple of 28408 and 28423?

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 28408 and 28423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28408 and 28423, than apply into the LCM equation.

GCF(28408,28423) = 1
LCM(28408,28423) = ( 28408 × 28423) / 1
LCM(28408,28423) = 807440584 / 1
LCM(28408,28423) = 807440584

Least Common Multiple (LCM) of 28408 and 28423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28408 and 28423. First we will calculate the prime factors of 28408 and 28423.

Prime Factorization of 28408

Prime Factorization of 28423

Now multiplying the highest exponent prime factors to calculate the LCM of 28408 and 28423.

LCM(28408,28423) = 2³ × 53¹ × 67¹ × 43¹ × 661¹
LCM(28408,28423) = 807440584