What is the Least Common Multiple of 11697 and 11703?

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 11697 and 11703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11697 and 11703, than apply into the LCM equation.

GCF(11697,11703) = 3
LCM(11697,11703) = ( 11697 × 11703) / 3
LCM(11697,11703) = 136889991 / 3
LCM(11697,11703) = 45629997

Least Common Multiple (LCM) of 11697 and 11703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11697 and 11703. First we will calculate the prime factors of 11697 and 11703.

Prime Factorization of 11697

Prime Factorization of 11703

Now multiplying the highest exponent prime factors to calculate the LCM of 11697 and 11703.

LCM(11697,11703) = 3¹ × 7¹ × 557¹ × 47¹ × 83¹
LCM(11697,11703) = 45629997