What is the Least Common Multiple of 35853 and 35868?

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 35853 and 35868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35853 and 35868, than apply into the LCM equation.

GCF(35853,35868) = 3
LCM(35853,35868) = ( 35853 × 35868) / 3
LCM(35853,35868) = 1285975404 / 3
LCM(35853,35868) = 428658468

Least Common Multiple (LCM) of 35853 and 35868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35853 and 35868. First we will calculate the prime factors of 35853 and 35868.

Prime Factorization of 35853

Prime Factorization of 35868

Now multiplying the highest exponent prime factors to calculate the LCM of 35853 and 35868.

LCM(35853,35868) = 3¹ × 17¹ × 19¹ × 37¹ × 2² × 7² × 61¹
LCM(35853,35868) = 428658468