What is the Least Common Multiple of 25938 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 25938 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 25938 and 25947, than apply into the LCM equation.

GCF(25938,25947) = 9
LCM(25938,25947) = ( 25938 × 25947) / 9
LCM(25938,25947) = 673013286 / 9
LCM(25938,25947) = 74779254

Least Common Multiple (LCM) of 25938 and 25947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25938 and 25947. First we will calculate the prime factors of 25938 and 25947.

Prime Factorization of 25938

Prime Factorization of 25947

Now multiplying the highest exponent prime factors to calculate the LCM of 25938 and 25947.

LCM(25938,25947) = 2¹ × 3³ × 11¹ × 131¹ × 31²
LCM(25938,25947) = 74779254