What is the Least Common Multiple of 10716 and 10724?

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 10724 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 10724, than apply into the LCM equation.

GCF(10716,10724) = 4
LCM(10716,10724) = ( 10716 × 10724) / 4
LCM(10716,10724) = 114918384 / 4
LCM(10716,10724) = 28729596

Least Common Multiple (LCM) of 10716 and 10724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10716 and 10724. First we will calculate the prime factors of 10716 and 10724.

Prime Factorization of 10716

Prime Factorization of 10724

Now multiplying the highest exponent prime factors to calculate the LCM of 10716 and 10724.

LCM(10716,10724) = 2² × 3¹ × 19¹ × 47¹ × 7¹ × 383¹
LCM(10716,10724) = 28729596