What is the Least Common Multiple of 16546 and 16562?

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 16546 and 16562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16546 and 16562, than apply into the LCM equation.

GCF(16546,16562) = 2
LCM(16546,16562) = ( 16546 × 16562) / 2
LCM(16546,16562) = 274034852 / 2
LCM(16546,16562) = 137017426

Least Common Multiple (LCM) of 16546 and 16562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16546 and 16562. First we will calculate the prime factors of 16546 and 16562.

Prime Factorization of 16546

Prime Factorization of 16562

Now multiplying the highest exponent prime factors to calculate the LCM of 16546 and 16562.

LCM(16546,16562) = 2¹ × 8273¹ × 7² × 13²
LCM(16546,16562) = 137017426