What is the Least Common Multiple of 35128 and 35146?

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 35128 and 35146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35128 and 35146, than apply into the LCM equation.

GCF(35128,35146) = 2
LCM(35128,35146) = ( 35128 × 35146) / 2
LCM(35128,35146) = 1234608688 / 2
LCM(35128,35146) = 617304344

Least Common Multiple (LCM) of 35128 and 35146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35128 and 35146. First we will calculate the prime factors of 35128 and 35146.

Prime Factorization of 35128

Prime Factorization of 35146

Now multiplying the highest exponent prime factors to calculate the LCM of 35128 and 35146.

LCM(35128,35146) = 2³ × 4391¹ × 17573¹
LCM(35128,35146) = 617304344