What is the Least Common Multiple of 82608 and 82614?

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 82608 and 82614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82608 and 82614, than apply into the LCM equation.

GCF(82608,82614) = 6
LCM(82608,82614) = ( 82608 × 82614) / 6
LCM(82608,82614) = 6824577312 / 6
LCM(82608,82614) = 1137429552

Least Common Multiple (LCM) of 82608 and 82614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82608 and 82614. First we will calculate the prime factors of 82608 and 82614.

Prime Factorization of 82608

Prime Factorization of 82614

Now multiplying the highest exponent prime factors to calculate the LCM of 82608 and 82614.

LCM(82608,82614) = 2⁴ × 3¹ × 1721¹ × 7² × 281¹
LCM(82608,82614) = 1137429552