What is the Least Common Multiple of 25451 and 25465?

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 25451 and 25465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25451 and 25465, than apply into the LCM equation.

GCF(25451,25465) = 1
LCM(25451,25465) = ( 25451 × 25465) / 1
LCM(25451,25465) = 648109715 / 1
LCM(25451,25465) = 648109715

Least Common Multiple (LCM) of 25451 and 25465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25451 and 25465. First we will calculate the prime factors of 25451 and 25465.

Prime Factorization of 25451

Prime Factorization of 25465

Now multiplying the highest exponent prime factors to calculate the LCM of 25451 and 25465.

LCM(25451,25465) = 31¹ × 821¹ × 5¹ × 11¹ × 463¹
LCM(25451,25465) = 648109715