What is the Least Common Multiple of 82638 and 82647?

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 82638 and 82647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82638 and 82647, than apply into the LCM equation.

GCF(82638,82647) = 9
LCM(82638,82647) = ( 82638 × 82647) / 9
LCM(82638,82647) = 6829782786 / 9
LCM(82638,82647) = 758864754

Least Common Multiple (LCM) of 82638 and 82647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82638 and 82647. First we will calculate the prime factors of 82638 and 82647.

Prime Factorization of 82638

Prime Factorization of 82647

Now multiplying the highest exponent prime factors to calculate the LCM of 82638 and 82647.

LCM(82638,82647) = 2¹ × 3³ × 4591¹ × 3061¹
LCM(82638,82647) = 758864754