What is the Least Common Multiple of 63573 and 63582?

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 63573 and 63582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63573 and 63582, than apply into the LCM equation.

GCF(63573,63582) = 3
LCM(63573,63582) = ( 63573 × 63582) / 3
LCM(63573,63582) = 4042098486 / 3
LCM(63573,63582) = 1347366162

Least Common Multiple (LCM) of 63573 and 63582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63573 and 63582. First we will calculate the prime factors of 63573 and 63582.

Prime Factorization of 63573

Prime Factorization of 63582

Now multiplying the highest exponent prime factors to calculate the LCM of 63573 and 63582.

LCM(63573,63582) = 3¹ × 21191¹ × 2¹ × 10597¹
LCM(63573,63582) = 1347366162