What is the Least Common Multiple of 80689 and 80693?

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 80689 and 80693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80689 and 80693, than apply into the LCM equation.

GCF(80689,80693) = 1
LCM(80689,80693) = ( 80689 × 80693) / 1
LCM(80689,80693) = 6511037477 / 1
LCM(80689,80693) = 6511037477

Least Common Multiple (LCM) of 80689 and 80693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80689 and 80693. First we will calculate the prime factors of 80689 and 80693.

Prime Factorization of 80689

Prime Factorization of 80693

Now multiplying the highest exponent prime factors to calculate the LCM of 80689 and 80693.

LCM(80689,80693) = 7¹ × 11527¹ × 19¹ × 31¹ × 137¹
LCM(80689,80693) = 6511037477