What is the Least Common Multiple of 21693 and 21703?

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 21693 and 21703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21693 and 21703, than apply into the LCM equation.

GCF(21693,21703) = 1
LCM(21693,21703) = ( 21693 × 21703) / 1
LCM(21693,21703) = 470803179 / 1
LCM(21693,21703) = 470803179

Least Common Multiple (LCM) of 21693 and 21703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21693 and 21703. First we will calculate the prime factors of 21693 and 21703.

Prime Factorization of 21693

Prime Factorization of 21703

Now multiplying the highest exponent prime factors to calculate the LCM of 21693 and 21703.

LCM(21693,21703) = 3¹ × 7¹ × 1033¹ × 11¹ × 1973¹
LCM(21693,21703) = 470803179