What is the Least Common Multiple of 38634 and 38643?

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 38634 and 38643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38634 and 38643, than apply into the LCM equation.

GCF(38634,38643) = 3
LCM(38634,38643) = ( 38634 × 38643) / 3
LCM(38634,38643) = 1492933662 / 3
LCM(38634,38643) = 497644554

Least Common Multiple (LCM) of 38634 and 38643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38634 and 38643. First we will calculate the prime factors of 38634 and 38643.

Prime Factorization of 38634

Prime Factorization of 38643

Now multiplying the highest exponent prime factors to calculate the LCM of 38634 and 38643.

LCM(38634,38643) = 2¹ × 3¹ × 47¹ × 137¹ × 11¹ × 1171¹
LCM(38634,38643) = 497644554