What is the Least Common Multiple of 35488 and 35492?

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 35488 and 35492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35488 and 35492, than apply into the LCM equation.

GCF(35488,35492) = 4
LCM(35488,35492) = ( 35488 × 35492) / 4
LCM(35488,35492) = 1259540096 / 4
LCM(35488,35492) = 314885024

Least Common Multiple (LCM) of 35488 and 35492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35488 and 35492. First we will calculate the prime factors of 35488 and 35492.

Prime Factorization of 35488

Prime Factorization of 35492

Now multiplying the highest exponent prime factors to calculate the LCM of 35488 and 35492.

LCM(35488,35492) = 2⁵ × 1109¹ × 19¹ × 467¹
LCM(35488,35492) = 314885024