What is the Least Common Multiple of 10716 and 10723?

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 10716 and 10723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10716 and 10723, than apply into the LCM equation.

GCF(10716,10723) = 1
LCM(10716,10723) = ( 10716 × 10723) / 1
LCM(10716,10723) = 114907668 / 1
LCM(10716,10723) = 114907668

Least Common Multiple (LCM) of 10716 and 10723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10716 and 10723. First we will calculate the prime factors of 10716 and 10723.

Prime Factorization of 10716

Prime Factorization of 10723

Now multiplying the highest exponent prime factors to calculate the LCM of 10716 and 10723.

LCM(10716,10723) = 2² × 3¹ × 19¹ × 47¹ × 10723¹
LCM(10716,10723) = 114907668