What is the Least Common Multiple of 8720 and 8726?

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 8726 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 8726, than apply into the LCM equation.

GCF(8720,8726) = 2
LCM(8720,8726) = ( 8720 × 8726) / 2
LCM(8720,8726) = 76090720 / 2
LCM(8720,8726) = 38045360

Least Common Multiple (LCM) of 8720 and 8726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8720 and 8726. First we will calculate the prime factors of 8720 and 8726.

Prime Factorization of 8720

Prime Factorization of 8726

Now multiplying the highest exponent prime factors to calculate the LCM of 8720 and 8726.

LCM(8720,8726) = 2⁴ × 5¹ × 109¹ × 4363¹
LCM(8720,8726) = 38045360