What is the Least Common Multiple of 68404 and 68414?

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 68404 and 68414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68404 and 68414, than apply into the LCM equation.

GCF(68404,68414) = 2
LCM(68404,68414) = ( 68404 × 68414) / 2
LCM(68404,68414) = 4679791256 / 2
LCM(68404,68414) = 2339895628

Least Common Multiple (LCM) of 68404 and 68414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68404 and 68414. First we will calculate the prime factors of 68404 and 68414.

Prime Factorization of 68404

Prime Factorization of 68414

Now multiplying the highest exponent prime factors to calculate the LCM of 68404 and 68414.

LCM(68404,68414) = 2² × 7² × 349¹ × 79¹ × 433¹
LCM(68404,68414) = 2339895628