What is the Least Common Multiple of 35488 and 35495?

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 35495 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 35495, than apply into the LCM equation.

GCF(35488,35495) = 1
LCM(35488,35495) = ( 35488 × 35495) / 1
LCM(35488,35495) = 1259646560 / 1
LCM(35488,35495) = 1259646560

Least Common Multiple (LCM) of 35488 and 35495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35488 and 35495. First we will calculate the prime factors of 35488 and 35495.

Prime Factorization of 35488

Prime Factorization of 35495

Now multiplying the highest exponent prime factors to calculate the LCM of 35488 and 35495.

LCM(35488,35495) = 2⁵ × 1109¹ × 5¹ × 31¹ × 229¹
LCM(35488,35495) = 1259646560