What is the Least Common Multiple of 25914 and 25919?

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 25914 and 25919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25914 and 25919, than apply into the LCM equation.

GCF(25914,25919) = 1
LCM(25914,25919) = ( 25914 × 25919) / 1
LCM(25914,25919) = 671664966 / 1
LCM(25914,25919) = 671664966

Least Common Multiple (LCM) of 25914 and 25919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25914 and 25919. First we will calculate the prime factors of 25914 and 25919.

Prime Factorization of 25914

Prime Factorization of 25919

Now multiplying the highest exponent prime factors to calculate the LCM of 25914 and 25919.

LCM(25914,25919) = 2¹ × 3¹ × 7¹ × 617¹ × 25919¹
LCM(25914,25919) = 671664966