What is the Least Common Multiple of 7250 and 7254?

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 7250 and 7254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7250 and 7254, than apply into the LCM equation.

GCF(7250,7254) = 2
LCM(7250,7254) = ( 7250 × 7254) / 2
LCM(7250,7254) = 52591500 / 2
LCM(7250,7254) = 26295750

Least Common Multiple (LCM) of 7250 and 7254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7250 and 7254. First we will calculate the prime factors of 7250 and 7254.

Prime Factorization of 7250

Prime Factorization of 7254

Now multiplying the highest exponent prime factors to calculate the LCM of 7250 and 7254.

LCM(7250,7254) = 2¹ × 5³ × 29¹ × 3² × 13¹ × 31¹
LCM(7250,7254) = 26295750