What is the Least Common Multiple of 35812 and 35828?

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 35812 and 35828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35812 and 35828, than apply into the LCM equation.

GCF(35812,35828) = 4
LCM(35812,35828) = ( 35812 × 35828) / 4
LCM(35812,35828) = 1283072336 / 4
LCM(35812,35828) = 320768084

Least Common Multiple (LCM) of 35812 and 35828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35812 and 35828. First we will calculate the prime factors of 35812 and 35828.

Prime Factorization of 35812

Prime Factorization of 35828

Now multiplying the highest exponent prime factors to calculate the LCM of 35812 and 35828.

LCM(35812,35828) = 2² × 7¹ × 1279¹ × 13² × 53¹
LCM(35812,35828) = 320768084