What is the Least Common Multiple of 8728 and 8740?

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 8728 and 8740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8728 and 8740, than apply into the LCM equation.

GCF(8728,8740) = 4
LCM(8728,8740) = ( 8728 × 8740) / 4
LCM(8728,8740) = 76282720 / 4
LCM(8728,8740) = 19070680

Least Common Multiple (LCM) of 8728 and 8740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8728 and 8740. First we will calculate the prime factors of 8728 and 8740.

Prime Factorization of 8728

Prime Factorization of 8740

Now multiplying the highest exponent prime factors to calculate the LCM of 8728 and 8740.

LCM(8728,8740) = 2³ × 1091¹ × 5¹ × 19¹ × 23¹
LCM(8728,8740) = 19070680