What is the Least Common Multiple of 25928 and 25947?

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 25928 and 25947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25928 and 25947, than apply into the LCM equation.

GCF(25928,25947) = 1
LCM(25928,25947) = ( 25928 × 25947) / 1
LCM(25928,25947) = 672753816 / 1
LCM(25928,25947) = 672753816

Least Common Multiple (LCM) of 25928 and 25947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25928 and 25947. First we will calculate the prime factors of 25928 and 25947.

Prime Factorization of 25928

Prime Factorization of 25947

Now multiplying the highest exponent prime factors to calculate the LCM of 25928 and 25947.

LCM(25928,25947) = 2³ × 7¹ × 463¹ × 3³ × 31²
LCM(25928,25947) = 672753816