What is the Least Common Multiple of 25490 and 25499?

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 25490 and 25499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25490 and 25499, than apply into the LCM equation.

GCF(25490,25499) = 1
LCM(25490,25499) = ( 25490 × 25499) / 1
LCM(25490,25499) = 649969510 / 1
LCM(25490,25499) = 649969510

Least Common Multiple (LCM) of 25490 and 25499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25490 and 25499. First we will calculate the prime factors of 25490 and 25499.

Prime Factorization of 25490

Prime Factorization of 25499

Now multiplying the highest exponent prime factors to calculate the LCM of 25490 and 25499.

LCM(25490,25499) = 2¹ × 5¹ × 2549¹ × 43¹ × 593¹
LCM(25490,25499) = 649969510