What is the Least Common Multiple of 25520 and 25537?

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 25520 and 25537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25520 and 25537, than apply into the LCM equation.

GCF(25520,25537) = 1
LCM(25520,25537) = ( 25520 × 25537) / 1
LCM(25520,25537) = 651704240 / 1
LCM(25520,25537) = 651704240

Least Common Multiple (LCM) of 25520 and 25537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25520 and 25537. First we will calculate the prime factors of 25520 and 25537.

Prime Factorization of 25520

Prime Factorization of 25537

Now multiplying the highest exponent prime factors to calculate the LCM of 25520 and 25537.

LCM(25520,25537) = 2⁴ × 5¹ × 11¹ × 29¹ × 25537¹
LCM(25520,25537) = 651704240