What is the Least Common Multiple of 25040 and 25045?

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 25040 and 25045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25040 and 25045, than apply into the LCM equation.

GCF(25040,25045) = 5
LCM(25040,25045) = ( 25040 × 25045) / 5
LCM(25040,25045) = 627126800 / 5
LCM(25040,25045) = 125425360

Least Common Multiple (LCM) of 25040 and 25045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25040 and 25045. First we will calculate the prime factors of 25040 and 25045.

Prime Factorization of 25040

Prime Factorization of 25045

Now multiplying the highest exponent prime factors to calculate the LCM of 25040 and 25045.

LCM(25040,25045) = 2⁴ × 5¹ × 313¹ × 5009¹
LCM(25040,25045) = 125425360