What is the Least Common Multiple of 21661 and 21678?

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 21661 and 21678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21661 and 21678, than apply into the LCM equation.

GCF(21661,21678) = 1
LCM(21661,21678) = ( 21661 × 21678) / 1
LCM(21661,21678) = 469567158 / 1
LCM(21661,21678) = 469567158

Least Common Multiple (LCM) of 21661 and 21678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21661 and 21678. First we will calculate the prime factors of 21661 and 21678.

Prime Factorization of 21661

Prime Factorization of 21678

Now multiplying the highest exponent prime factors to calculate the LCM of 21661 and 21678.

LCM(21661,21678) = 21661¹ × 2¹ × 3¹ × 3613¹
LCM(21661,21678) = 469567158