What is the Least Common Multiple of 38026 and 38032?

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 38026 and 38032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38026 and 38032, than apply into the LCM equation.

GCF(38026,38032) = 2
LCM(38026,38032) = ( 38026 × 38032) / 2
LCM(38026,38032) = 1446204832 / 2
LCM(38026,38032) = 723102416

Least Common Multiple (LCM) of 38026 and 38032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38026 and 38032. First we will calculate the prime factors of 38026 and 38032.

Prime Factorization of 38026

Prime Factorization of 38032

Now multiplying the highest exponent prime factors to calculate the LCM of 38026 and 38032.

LCM(38026,38032) = 2⁴ × 19013¹ × 2377¹
LCM(38026,38032) = 723102416