What is the Least Common Multiple of 35488 and 35506?

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 35506 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 35506, than apply into the LCM equation.

GCF(35488,35506) = 2
LCM(35488,35506) = ( 35488 × 35506) / 2
LCM(35488,35506) = 1260036928 / 2
LCM(35488,35506) = 630018464

Least Common Multiple (LCM) of 35488 and 35506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35488 and 35506. First we will calculate the prime factors of 35488 and 35506.

Prime Factorization of 35488

Prime Factorization of 35506

Now multiplying the highest exponent prime factors to calculate the LCM of 35488 and 35506.

LCM(35488,35506) = 2⁵ × 1109¹ × 41¹ × 433¹
LCM(35488,35506) = 630018464