What is the Least Common Multiple of 68634 and 68649?

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 68634 and 68649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68634 and 68649, than apply into the LCM equation.

GCF(68634,68649) = 3
LCM(68634,68649) = ( 68634 × 68649) / 3
LCM(68634,68649) = 4711655466 / 3
LCM(68634,68649) = 1570551822

Least Common Multiple (LCM) of 68634 and 68649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68634 and 68649. First we will calculate the prime factors of 68634 and 68649.

Prime Factorization of 68634

Prime Factorization of 68649

Now multiplying the highest exponent prime factors to calculate the LCM of 68634 and 68649.

LCM(68634,68649) = 2¹ × 3³ × 31¹ × 41¹ × 7² × 467¹
LCM(68634,68649) = 1570551822