What is the Least Common Multiple of 16476 and 16492?

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 16476 and 16492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16476 and 16492, than apply into the LCM equation.

GCF(16476,16492) = 4
LCM(16476,16492) = ( 16476 × 16492) / 4
LCM(16476,16492) = 271722192 / 4
LCM(16476,16492) = 67930548

Least Common Multiple (LCM) of 16476 and 16492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16476 and 16492. First we will calculate the prime factors of 16476 and 16492.

Prime Factorization of 16476

Prime Factorization of 16492

Now multiplying the highest exponent prime factors to calculate the LCM of 16476 and 16492.

LCM(16476,16492) = 2² × 3¹ × 1373¹ × 7¹ × 19¹ × 31¹
LCM(16476,16492) = 67930548