What is the Least Common Multiple of 38626 and 38638?

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 38626 and 38638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38626 and 38638, than apply into the LCM equation.

GCF(38626,38638) = 2
LCM(38626,38638) = ( 38626 × 38638) / 2
LCM(38626,38638) = 1492431388 / 2
LCM(38626,38638) = 746215694

Least Common Multiple (LCM) of 38626 and 38638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38626 and 38638. First we will calculate the prime factors of 38626 and 38638.

Prime Factorization of 38626

Prime Factorization of 38638

Now multiplying the highest exponent prime factors to calculate the LCM of 38626 and 38638.

LCM(38626,38638) = 2¹ × 7¹ × 31¹ × 89¹ × 19319¹
LCM(38626,38638) = 746215694