What is the Least Common Multiple of 86880 and 86893?

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 86880 and 86893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86880 and 86893, than apply into the LCM equation.

GCF(86880,86893) = 1
LCM(86880,86893) = ( 86880 × 86893) / 1
LCM(86880,86893) = 7549263840 / 1
LCM(86880,86893) = 7549263840

Least Common Multiple (LCM) of 86880 and 86893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86880 and 86893. First we will calculate the prime factors of 86880 and 86893.

Prime Factorization of 86880

Prime Factorization of 86893

Now multiplying the highest exponent prime factors to calculate the LCM of 86880 and 86893.

LCM(86880,86893) = 2⁵ × 3¹ × 5¹ × 181¹ × 31¹ × 2803¹
LCM(86880,86893) = 7549263840