What is the Least Common Multiple of 80954 and 80969?

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 80954 and 80969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80954 and 80969, than apply into the LCM equation.

GCF(80954,80969) = 1
LCM(80954,80969) = ( 80954 × 80969) / 1
LCM(80954,80969) = 6554764426 / 1
LCM(80954,80969) = 6554764426

Least Common Multiple (LCM) of 80954 and 80969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80954 and 80969. First we will calculate the prime factors of 80954 and 80969.

Prime Factorization of 80954

Prime Factorization of 80969

Now multiplying the highest exponent prime factors to calculate the LCM of 80954 and 80969.

LCM(80954,80969) = 2¹ × 17¹ × 2381¹ × 7¹ × 43¹ × 269¹
LCM(80954,80969) = 6554764426