What is the Least Common Multiple of 10728 and 10744?

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 10728 and 10744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10728 and 10744, than apply into the LCM equation.

GCF(10728,10744) = 8
LCM(10728,10744) = ( 10728 × 10744) / 8
LCM(10728,10744) = 115261632 / 8
LCM(10728,10744) = 14407704

Least Common Multiple (LCM) of 10728 and 10744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10728 and 10744. First we will calculate the prime factors of 10728 and 10744.

Prime Factorization of 10728

Prime Factorization of 10744

Now multiplying the highest exponent prime factors to calculate the LCM of 10728 and 10744.

LCM(10728,10744) = 2³ × 3² × 149¹ × 17¹ × 79¹
LCM(10728,10744) = 14407704