What is the Least Common Multiple of 25880 and 25897?

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 25880 and 25897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25880 and 25897, than apply into the LCM equation.

GCF(25880,25897) = 1
LCM(25880,25897) = ( 25880 × 25897) / 1
LCM(25880,25897) = 670214360 / 1
LCM(25880,25897) = 670214360

Least Common Multiple (LCM) of 25880 and 25897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25880 and 25897. First we will calculate the prime factors of 25880 and 25897.

Prime Factorization of 25880

Prime Factorization of 25897

Now multiplying the highest exponent prime factors to calculate the LCM of 25880 and 25897.

LCM(25880,25897) = 2³ × 5¹ × 647¹ × 19¹ × 29¹ × 47¹
LCM(25880,25897) = 670214360