What is the Least Common Multiple of 25288 and 25305?

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 25288 and 25305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25288 and 25305, than apply into the LCM equation.

GCF(25288,25305) = 1
LCM(25288,25305) = ( 25288 × 25305) / 1
LCM(25288,25305) = 639912840 / 1
LCM(25288,25305) = 639912840

Least Common Multiple (LCM) of 25288 and 25305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25288 and 25305. First we will calculate the prime factors of 25288 and 25305.

Prime Factorization of 25288

Prime Factorization of 25305

Now multiplying the highest exponent prime factors to calculate the LCM of 25288 and 25305.

LCM(25288,25305) = 2³ × 29¹ × 109¹ × 3¹ × 5¹ × 7¹ × 241¹
LCM(25288,25305) = 639912840