What is the Least Common Multiple of 43563 and 43582?

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 43563 and 43582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43563 and 43582, than apply into the LCM equation.

GCF(43563,43582) = 1
LCM(43563,43582) = ( 43563 × 43582) / 1
LCM(43563,43582) = 1898562666 / 1
LCM(43563,43582) = 1898562666

Least Common Multiple (LCM) of 43563 and 43582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43563 and 43582. First we will calculate the prime factors of 43563 and 43582.

Prime Factorization of 43563

Prime Factorization of 43582

Now multiplying the highest exponent prime factors to calculate the LCM of 43563 and 43582.

LCM(43563,43582) = 3¹ × 13¹ × 1117¹ × 2¹ × 7¹ × 11¹ × 283¹
LCM(43563,43582) = 1898562666