What is the Least Common Multiple of 32614 and 32634?

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 32614 and 32634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32614 and 32634, than apply into the LCM equation.

GCF(32614,32634) = 2
LCM(32614,32634) = ( 32614 × 32634) / 2
LCM(32614,32634) = 1064325276 / 2
LCM(32614,32634) = 532162638

Least Common Multiple (LCM) of 32614 and 32634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32614 and 32634. First we will calculate the prime factors of 32614 and 32634.

Prime Factorization of 32614

Prime Factorization of 32634

Now multiplying the highest exponent prime factors to calculate the LCM of 32614 and 32634.

LCM(32614,32634) = 2¹ × 23¹ × 709¹ × 3² × 7² × 37¹
LCM(32614,32634) = 532162638