What is the Least Common Multiple of 25764 and 25783?

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 25764 and 25783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25764 and 25783, than apply into the LCM equation.

GCF(25764,25783) = 19
LCM(25764,25783) = ( 25764 × 25783) / 19
LCM(25764,25783) = 664273212 / 19
LCM(25764,25783) = 34961748

Least Common Multiple (LCM) of 25764 and 25783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25764 and 25783. First we will calculate the prime factors of 25764 and 25783.

Prime Factorization of 25764

Prime Factorization of 25783

Now multiplying the highest exponent prime factors to calculate the LCM of 25764 and 25783.

LCM(25764,25783) = 2² × 3¹ × 19¹ × 113¹ × 23¹ × 59¹
LCM(25764,25783) = 34961748