What is the Least Common Multiple of 7578 and 7582?

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 7578 and 7582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7578 and 7582, than apply into the LCM equation.

GCF(7578,7582) = 2
LCM(7578,7582) = ( 7578 × 7582) / 2
LCM(7578,7582) = 57456396 / 2
LCM(7578,7582) = 28728198

Least Common Multiple (LCM) of 7578 and 7582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7578 and 7582. First we will calculate the prime factors of 7578 and 7582.

Prime Factorization of 7578

Prime Factorization of 7582

Now multiplying the highest exponent prime factors to calculate the LCM of 7578 and 7582.

LCM(7578,7582) = 2¹ × 3² × 421¹ × 17¹ × 223¹
LCM(7578,7582) = 28728198