What is the Least Common Multiple of 80880 and 80893?

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 80880 and 80893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80880 and 80893, than apply into the LCM equation.

GCF(80880,80893) = 1
LCM(80880,80893) = ( 80880 × 80893) / 1
LCM(80880,80893) = 6542625840 / 1
LCM(80880,80893) = 6542625840

Least Common Multiple (LCM) of 80880 and 80893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80880 and 80893. First we will calculate the prime factors of 80880 and 80893.

Prime Factorization of 80880

Prime Factorization of 80893

Now multiplying the highest exponent prime factors to calculate the LCM of 80880 and 80893.

LCM(80880,80893) = 2⁴ × 3¹ × 5¹ × 337¹ × 41¹ × 1973¹
LCM(80880,80893) = 6542625840