What is the Least Common Multiple of 82653 and 82661?

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 82653 and 82661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82653 and 82661, than apply into the LCM equation.

GCF(82653,82661) = 1
LCM(82653,82661) = ( 82653 × 82661) / 1
LCM(82653,82661) = 6832179633 / 1
LCM(82653,82661) = 6832179633

Least Common Multiple (LCM) of 82653 and 82661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82653 and 82661. First we will calculate the prime factors of 82653 and 82661.

Prime Factorization of 82653

Prime Factorization of 82661

Now multiplying the highest exponent prime factors to calculate the LCM of 82653 and 82661.

LCM(82653,82661) = 3¹ × 27551¹ × 131¹ × 631¹
LCM(82653,82661) = 6832179633