GCF and LCM Calculator Logo

What is the Least Common Multiple of 3562 and 3582?

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 (LCM) of 3562 and 3582 is 6379542.

LCM(3562,3582) = 6379542

LCM Calculator and
and

Least Common Multiple of 3562 and 3582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3562 and 3582, than apply into the LCM equation.

GCF(3562,3582) = 2
LCM(3562,3582) = ( 3562 × 3582) / 2
LCM(3562,3582) = 12759084 / 2
LCM(3562,3582) = 6379542

Least Common Multiple (LCM) of 3562 and 3582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3562 and 3582. First we will calculate the prime factors of 3562 and 3582.

Prime Factorization of 3562

Prime factors of 3562 are 2, 13, 137. Prime factorization of 3562 in exponential form is:

3562 = 21 × 131 × 1371

Prime Factorization of 3582

Prime factors of 3582 are 2, 3, 199. Prime factorization of 3582 in exponential form is:

3582 = 21 × 32 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 3562 and 3582.

LCM(3562,3582) = 21 × 131 × 1371 × 32 × 1991
LCM(3562,3582) = 6379542