What is the Least Common Multiple of 25074 and 25080?

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 25074 and 25080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25074 and 25080, than apply into the LCM equation.

GCF(25074,25080) = 6
LCM(25074,25080) = ( 25074 × 25080) / 6
LCM(25074,25080) = 628855920 / 6
LCM(25074,25080) = 104809320

Least Common Multiple (LCM) of 25074 and 25080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25074 and 25080. First we will calculate the prime factors of 25074 and 25080.

Prime Factorization of 25074

Prime Factorization of 25080

Now multiplying the highest exponent prime factors to calculate the LCM of 25074 and 25080.

LCM(25074,25080) = 2³ × 3² × 7¹ × 199¹ × 5¹ × 11¹ × 19¹
LCM(25074,25080) = 104809320