What is the Least Common Multiple of 28234 and 28242?

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 28234 and 28242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28234 and 28242, than apply into the LCM equation.

GCF(28234,28242) = 2
LCM(28234,28242) = ( 28234 × 28242) / 2
LCM(28234,28242) = 797384628 / 2
LCM(28234,28242) = 398692314

Least Common Multiple (LCM) of 28234 and 28242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28234 and 28242. First we will calculate the prime factors of 28234 and 28242.

Prime Factorization of 28234

Prime Factorization of 28242

Now multiplying the highest exponent prime factors to calculate the LCM of 28234 and 28242.

LCM(28234,28242) = 2¹ × 19¹ × 743¹ × 3³ × 523¹
LCM(28234,28242) = 398692314