What is the Least Common Multiple of 25552 and 25567?

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 25552 and 25567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25552 and 25567, than apply into the LCM equation.

GCF(25552,25567) = 1
LCM(25552,25567) = ( 25552 × 25567) / 1
LCM(25552,25567) = 653287984 / 1
LCM(25552,25567) = 653287984

Least Common Multiple (LCM) of 25552 and 25567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25552 and 25567. First we will calculate the prime factors of 25552 and 25567.

Prime Factorization of 25552

Prime Factorization of 25567

Now multiplying the highest exponent prime factors to calculate the LCM of 25552 and 25567.

LCM(25552,25567) = 2⁴ × 1597¹ × 37¹ × 691¹
LCM(25552,25567) = 653287984