What is the Least Common Multiple of 86880 and 86890?

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 86890 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 86890, than apply into the LCM equation.

GCF(86880,86890) = 10
LCM(86880,86890) = ( 86880 × 86890) / 10
LCM(86880,86890) = 7549003200 / 10
LCM(86880,86890) = 754900320

Least Common Multiple (LCM) of 86880 and 86890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86880 and 86890. First we will calculate the prime factors of 86880 and 86890.

Prime Factorization of 86880

Prime Factorization of 86890

Now multiplying the highest exponent prime factors to calculate the LCM of 86880 and 86890.

LCM(86880,86890) = 2⁵ × 3¹ × 5¹ × 181¹ × 8689¹
LCM(86880,86890) = 754900320