What is the Least Common Multiple of 25948 and 25961?

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 25948 and 25961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25948 and 25961, than apply into the LCM equation.

GCF(25948,25961) = 13
LCM(25948,25961) = ( 25948 × 25961) / 13
LCM(25948,25961) = 673636028 / 13
LCM(25948,25961) = 51818156

Least Common Multiple (LCM) of 25948 and 25961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25948 and 25961. First we will calculate the prime factors of 25948 and 25961.

Prime Factorization of 25948

Prime Factorization of 25961

Now multiplying the highest exponent prime factors to calculate the LCM of 25948 and 25961.

LCM(25948,25961) = 2² × 13¹ × 499¹ × 1997¹
LCM(25948,25961) = 51818156