What is the Least Common Multiple of 16674 and 16688?

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 16674 and 16688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16674 and 16688, than apply into the LCM equation.

GCF(16674,16688) = 14
LCM(16674,16688) = ( 16674 × 16688) / 14
LCM(16674,16688) = 278255712 / 14
LCM(16674,16688) = 19875408

Least Common Multiple (LCM) of 16674 and 16688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16674 and 16688. First we will calculate the prime factors of 16674 and 16688.

Prime Factorization of 16674

Prime Factorization of 16688

Now multiplying the highest exponent prime factors to calculate the LCM of 16674 and 16688.

LCM(16674,16688) = 2⁴ × 3¹ × 7¹ × 397¹ × 149¹
LCM(16674,16688) = 19875408