What is the Least Common Multiple of 39488 and 39492?

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 39488 and 39492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39488 and 39492, than apply into the LCM equation.

GCF(39488,39492) = 4
LCM(39488,39492) = ( 39488 × 39492) / 4
LCM(39488,39492) = 1559460096 / 4
LCM(39488,39492) = 389865024

Least Common Multiple (LCM) of 39488 and 39492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39488 and 39492. First we will calculate the prime factors of 39488 and 39492.

Prime Factorization of 39488

Prime Factorization of 39492

Now multiplying the highest exponent prime factors to calculate the LCM of 39488 and 39492.

LCM(39488,39492) = 2⁶ × 617¹ × 3² × 1097¹
LCM(39488,39492) = 389865024