What is the Least Common Multiple of 16435 and 16452?

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 16435 and 16452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16435 and 16452, than apply into the LCM equation.

GCF(16435,16452) = 1
LCM(16435,16452) = ( 16435 × 16452) / 1
LCM(16435,16452) = 270388620 / 1
LCM(16435,16452) = 270388620

Least Common Multiple (LCM) of 16435 and 16452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16435 and 16452. First we will calculate the prime factors of 16435 and 16452.

Prime Factorization of 16435

Prime Factorization of 16452

Now multiplying the highest exponent prime factors to calculate the LCM of 16435 and 16452.

LCM(16435,16452) = 5¹ × 19¹ × 173¹ × 2² × 3² × 457¹
LCM(16435,16452) = 270388620