What is the Least Common Multiple of 86901 and 86912?

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 86901 and 86912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86901 and 86912, than apply into the LCM equation.

GCF(86901,86912) = 1
LCM(86901,86912) = ( 86901 × 86912) / 1
LCM(86901,86912) = 7552739712 / 1
LCM(86901,86912) = 7552739712

Least Common Multiple (LCM) of 86901 and 86912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86901 and 86912. First we will calculate the prime factors of 86901 and 86912.

Prime Factorization of 86901

Prime Factorization of 86912

Now multiplying the highest exponent prime factors to calculate the LCM of 86901 and 86912.

LCM(86901,86912) = 3¹ × 83¹ × 349¹ × 2⁷ × 7¹ × 97¹
LCM(86901,86912) = 7552739712