What is the Least Common Multiple of 3570 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 of 3570 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 3570 and 3582, than apply into the LCM equation.

GCF(3570,3582) = 6
LCM(3570,3582) = ( 3570 × 3582) / 6
LCM(3570,3582) = 12787740 / 6
LCM(3570,3582) = 2131290

Least Common Multiple (LCM) of 3570 and 3582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3570 and 3582. First we will calculate the prime factors of 3570 and 3582.

Prime Factorization of 3570

Prime Factorization of 3582

Now multiplying the highest exponent prime factors to calculate the LCM of 3570 and 3582.

LCM(3570,3582) = 2¹ × 3² × 5¹ × 7¹ × 17¹ × 199¹
LCM(3570,3582) = 2131290