What is the Least Common Multiple of 82649 and 82668?

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 82649 and 82668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82649 and 82668, than apply into the LCM equation.

GCF(82649,82668) = 1
LCM(82649,82668) = ( 82649 × 82668) / 1
LCM(82649,82668) = 6832427532 / 1
LCM(82649,82668) = 6832427532

Least Common Multiple (LCM) of 82649 and 82668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82649 and 82668. First we will calculate the prime factors of 82649 and 82668.

Prime Factorization of 82649

Prime Factorization of 82668

Now multiplying the highest exponent prime factors to calculate the LCM of 82649 and 82668.

LCM(82649,82668) = 7¹ × 11807¹ × 2² × 3¹ × 83²
LCM(82649,82668) = 6832427532