What is the Least Common Multiple of 38432 and 38452?

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 38432 and 38452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38432 and 38452, than apply into the LCM equation.

GCF(38432,38452) = 4
LCM(38432,38452) = ( 38432 × 38452) / 4
LCM(38432,38452) = 1477787264 / 4
LCM(38432,38452) = 369446816

Least Common Multiple (LCM) of 38432 and 38452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38432 and 38452. First we will calculate the prime factors of 38432 and 38452.

Prime Factorization of 38432

Prime Factorization of 38452

Now multiplying the highest exponent prime factors to calculate the LCM of 38432 and 38452.

LCM(38432,38452) = 2⁵ × 1201¹ × 9613¹
LCM(38432,38452) = 369446816