What is the Least Common Multiple of 57576 and 57582?

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 57576 and 57582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57576 and 57582, than apply into the LCM equation.

GCF(57576,57582) = 6
LCM(57576,57582) = ( 57576 × 57582) / 6
LCM(57576,57582) = 3315341232 / 6
LCM(57576,57582) = 552556872

Least Common Multiple (LCM) of 57576 and 57582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57576 and 57582. First we will calculate the prime factors of 57576 and 57582.

Prime Factorization of 57576

Prime Factorization of 57582

Now multiplying the highest exponent prime factors to calculate the LCM of 57576 and 57582.

LCM(57576,57582) = 2³ × 3² × 2399¹ × 7¹ × 457¹
LCM(57576,57582) = 552556872