What is the Least Common Multiple of 83697 and 83711?

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 83697 and 83711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83697 and 83711, than apply into the LCM equation.

GCF(83697,83711) = 1
LCM(83697,83711) = ( 83697 × 83711) / 1
LCM(83697,83711) = 7006359567 / 1
LCM(83697,83711) = 7006359567

Least Common Multiple (LCM) of 83697 and 83711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83697 and 83711. First we will calculate the prime factors of 83697 and 83711.

Prime Factorization of 83697

Prime Factorization of 83711

Now multiplying the highest exponent prime factors to calculate the LCM of 83697 and 83711.

LCM(83697,83711) = 3¹ × 23¹ × 1213¹ × 97¹ × 863¹
LCM(83697,83711) = 7006359567