What is the Least Common Multiple of 25890 and 25900?

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 25890 and 25900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25890 and 25900, than apply into the LCM equation.

GCF(25890,25900) = 10
LCM(25890,25900) = ( 25890 × 25900) / 10
LCM(25890,25900) = 670551000 / 10
LCM(25890,25900) = 67055100

Least Common Multiple (LCM) of 25890 and 25900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25890 and 25900. First we will calculate the prime factors of 25890 and 25900.

Prime Factorization of 25890

Prime Factorization of 25900

Now multiplying the highest exponent prime factors to calculate the LCM of 25890 and 25900.

LCM(25890,25900) = 2² × 3¹ × 5² × 863¹ × 7¹ × 37¹
LCM(25890,25900) = 67055100