What is the Least Common Multiple of 21728 and 21748?

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 21728 and 21748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21728 and 21748, than apply into the LCM equation.

GCF(21728,21748) = 4
LCM(21728,21748) = ( 21728 × 21748) / 4
LCM(21728,21748) = 472540544 / 4
LCM(21728,21748) = 118135136

Least Common Multiple (LCM) of 21728 and 21748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21728 and 21748. First we will calculate the prime factors of 21728 and 21748.

Prime Factorization of 21728

Prime Factorization of 21748

Now multiplying the highest exponent prime factors to calculate the LCM of 21728 and 21748.

LCM(21728,21748) = 2⁵ × 7¹ × 97¹ × 5437¹
LCM(21728,21748) = 118135136