What is the Least Common Multiple of 68614 and 68634?

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 68614 and 68634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68614 and 68634, than apply into the LCM equation.

GCF(68614,68634) = 2
LCM(68614,68634) = ( 68614 × 68634) / 2
LCM(68614,68634) = 4709253276 / 2
LCM(68614,68634) = 2354626638

Least Common Multiple (LCM) of 68614 and 68634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68614 and 68634. First we will calculate the prime factors of 68614 and 68634.

Prime Factorization of 68614

Prime Factorization of 68634

Now multiplying the highest exponent prime factors to calculate the LCM of 68614 and 68634.

LCM(68614,68634) = 2¹ × 7¹ × 13² × 29¹ × 3³ × 31¹ × 41¹
LCM(68614,68634) = 2354626638