What is the Least Common Multiple of 38628 and 38639?

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 38628 and 38639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38628 and 38639, than apply into the LCM equation.

GCF(38628,38639) = 1
LCM(38628,38639) = ( 38628 × 38639) / 1
LCM(38628,38639) = 1492547292 / 1
LCM(38628,38639) = 1492547292

Least Common Multiple (LCM) of 38628 and 38639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38628 and 38639. First we will calculate the prime factors of 38628 and 38639.

Prime Factorization of 38628

Prime Factorization of 38639

Now multiplying the highest exponent prime factors to calculate the LCM of 38628 and 38639.

LCM(38628,38639) = 2² × 3² × 29¹ × 37¹ × 38639¹
LCM(38628,38639) = 1492547292