What is the Least Common Multiple of 8720 and 8739?

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 8720 and 8739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8720 and 8739, than apply into the LCM equation.

GCF(8720,8739) = 1
LCM(8720,8739) = ( 8720 × 8739) / 1
LCM(8720,8739) = 76204080 / 1
LCM(8720,8739) = 76204080

Least Common Multiple (LCM) of 8720 and 8739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8720 and 8739. First we will calculate the prime factors of 8720 and 8739.

Prime Factorization of 8720

Prime Factorization of 8739

Now multiplying the highest exponent prime factors to calculate the LCM of 8720 and 8739.

LCM(8720,8739) = 2⁴ × 5¹ × 109¹ × 3² × 971¹
LCM(8720,8739) = 76204080