What is the Least Common Multiple of 35828 and 35846?

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 35828 and 35846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35828 and 35846, than apply into the LCM equation.

GCF(35828,35846) = 2
LCM(35828,35846) = ( 35828 × 35846) / 2
LCM(35828,35846) = 1284290488 / 2
LCM(35828,35846) = 642145244

Least Common Multiple (LCM) of 35828 and 35846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35828 and 35846. First we will calculate the prime factors of 35828 and 35846.

Prime Factorization of 35828

Prime Factorization of 35846

Now multiplying the highest exponent prime factors to calculate the LCM of 35828 and 35846.

LCM(35828,35846) = 2² × 13² × 53¹ × 17923¹
LCM(35828,35846) = 642145244