What is the Least Common Multiple of 82614 and 82634?

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 82614 and 82634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82614 and 82634, than apply into the LCM equation.

GCF(82614,82634) = 2
LCM(82614,82634) = ( 82614 × 82634) / 2
LCM(82614,82634) = 6826725276 / 2
LCM(82614,82634) = 3413362638

Least Common Multiple (LCM) of 82614 and 82634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82614 and 82634. First we will calculate the prime factors of 82614 and 82634.

Prime Factorization of 82614

Prime Factorization of 82634

Now multiplying the highest exponent prime factors to calculate the LCM of 82614 and 82634.

LCM(82614,82634) = 2¹ × 3¹ × 7² × 281¹ × 79¹ × 523¹
LCM(82614,82634) = 3413362638