What is the Least Common Multiple of 38518 and 38528?

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 38518 and 38528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38518 and 38528, than apply into the LCM equation.

GCF(38518,38528) = 2
LCM(38518,38528) = ( 38518 × 38528) / 2
LCM(38518,38528) = 1484021504 / 2
LCM(38518,38528) = 742010752

Least Common Multiple (LCM) of 38518 and 38528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38518 and 38528. First we will calculate the prime factors of 38518 and 38528.

Prime Factorization of 38518

Prime Factorization of 38528

Now multiplying the highest exponent prime factors to calculate the LCM of 38518 and 38528.

LCM(38518,38528) = 2⁷ × 19259¹ × 7¹ × 43¹
LCM(38518,38528) = 742010752