What is the Least Common Multiple of 35128 and 35140?

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 35140 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 35140, than apply into the LCM equation.

GCF(35128,35140) = 4
LCM(35128,35140) = ( 35128 × 35140) / 4
LCM(35128,35140) = 1234397920 / 4
LCM(35128,35140) = 308599480

Least Common Multiple (LCM) of 35128 and 35140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35128 and 35140. First we will calculate the prime factors of 35128 and 35140.

Prime Factorization of 35128

Prime Factorization of 35140

Now multiplying the highest exponent prime factors to calculate the LCM of 35128 and 35140.

LCM(35128,35140) = 2³ × 4391¹ × 5¹ × 7¹ × 251¹
LCM(35128,35140) = 308599480