What is the Least Common Multiple of 25240 and 25260?

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 25240 and 25260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25240 and 25260, than apply into the LCM equation.

GCF(25240,25260) = 20
LCM(25240,25260) = ( 25240 × 25260) / 20
LCM(25240,25260) = 637562400 / 20
LCM(25240,25260) = 31878120

Least Common Multiple (LCM) of 25240 and 25260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25240 and 25260. First we will calculate the prime factors of 25240 and 25260.

Prime Factorization of 25240

Prime Factorization of 25260

Now multiplying the highest exponent prime factors to calculate the LCM of 25240 and 25260.

LCM(25240,25260) = 2³ × 5¹ × 631¹ × 3¹ × 421¹
LCM(25240,25260) = 31878120