What is the Least Common Multiple of 38420 and 38432?

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 38420 and 38432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38420 and 38432, than apply into the LCM equation.

GCF(38420,38432) = 4
LCM(38420,38432) = ( 38420 × 38432) / 4
LCM(38420,38432) = 1476557440 / 4
LCM(38420,38432) = 369139360

Least Common Multiple (LCM) of 38420 and 38432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38420 and 38432. First we will calculate the prime factors of 38420 and 38432.

Prime Factorization of 38420

Prime Factorization of 38432

Now multiplying the highest exponent prime factors to calculate the LCM of 38420 and 38432.

LCM(38420,38432) = 2⁵ × 5¹ × 17¹ × 113¹ × 1201¹
LCM(38420,38432) = 369139360