What is the Least Common Multiple of 25935 and 25952?

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 25935 and 25952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25935 and 25952, than apply into the LCM equation.

GCF(25935,25952) = 1
LCM(25935,25952) = ( 25935 × 25952) / 1
LCM(25935,25952) = 673065120 / 1
LCM(25935,25952) = 673065120

Least Common Multiple (LCM) of 25935 and 25952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25935 and 25952. First we will calculate the prime factors of 25935 and 25952.

Prime Factorization of 25935

Prime Factorization of 25952

Now multiplying the highest exponent prime factors to calculate the LCM of 25935 and 25952.

LCM(25935,25952) = 3¹ × 5¹ × 7¹ × 13¹ × 19¹ × 2⁵ × 811¹
LCM(25935,25952) = 673065120