What is the Least Common Multiple of 16628 and 16640?

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 16628 and 16640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16628 and 16640, than apply into the LCM equation.

GCF(16628,16640) = 4
LCM(16628,16640) = ( 16628 × 16640) / 4
LCM(16628,16640) = 276689920 / 4
LCM(16628,16640) = 69172480

Least Common Multiple (LCM) of 16628 and 16640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16628 and 16640. First we will calculate the prime factors of 16628 and 16640.

Prime Factorization of 16628

Prime Factorization of 16640

Now multiplying the highest exponent prime factors to calculate the LCM of 16628 and 16640.

LCM(16628,16640) = 2⁸ × 4157¹ × 5¹ × 13¹
LCM(16628,16640) = 69172480