What is the Least Common Multiple of 25408 and 25419?

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 25408 and 25419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25408 and 25419, than apply into the LCM equation.

GCF(25408,25419) = 1
LCM(25408,25419) = ( 25408 × 25419) / 1
LCM(25408,25419) = 645845952 / 1
LCM(25408,25419) = 645845952

Least Common Multiple (LCM) of 25408 and 25419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25408 and 25419. First we will calculate the prime factors of 25408 and 25419.

Prime Factorization of 25408

Prime Factorization of 25419

Now multiplying the highest exponent prime factors to calculate the LCM of 25408 and 25419.

LCM(25408,25419) = 2⁶ × 397¹ × 3¹ × 37¹ × 229¹
LCM(25408,25419) = 645845952