What is the Least Common Multiple of 28720 and 28734?

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 28720 and 28734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28720 and 28734, than apply into the LCM equation.

GCF(28720,28734) = 2
LCM(28720,28734) = ( 28720 × 28734) / 2
LCM(28720,28734) = 825240480 / 2
LCM(28720,28734) = 412620240

Least Common Multiple (LCM) of 28720 and 28734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28720 and 28734. First we will calculate the prime factors of 28720 and 28734.

Prime Factorization of 28720

Prime Factorization of 28734

Now multiplying the highest exponent prime factors to calculate the LCM of 28720 and 28734.

LCM(28720,28734) = 2⁴ × 5¹ × 359¹ × 3¹ × 4789¹
LCM(28720,28734) = 412620240