What is the Least Common Multiple of 38832 and 38848?

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 38832 and 38848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38832 and 38848, than apply into the LCM equation.

GCF(38832,38848) = 16
LCM(38832,38848) = ( 38832 × 38848) / 16
LCM(38832,38848) = 1508545536 / 16
LCM(38832,38848) = 94284096

Least Common Multiple (LCM) of 38832 and 38848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38832 and 38848. First we will calculate the prime factors of 38832 and 38848.

Prime Factorization of 38832

Prime Factorization of 38848

Now multiplying the highest exponent prime factors to calculate the LCM of 38832 and 38848.

LCM(38832,38848) = 2⁶ × 3¹ × 809¹ × 607¹
LCM(38832,38848) = 94284096