What is the Least Common Multiple of 86992 and 87009?

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 86992 and 87009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86992 and 87009, than apply into the LCM equation.

GCF(86992,87009) = 1
LCM(86992,87009) = ( 86992 × 87009) / 1
LCM(86992,87009) = 7569086928 / 1
LCM(86992,87009) = 7569086928

Least Common Multiple (LCM) of 86992 and 87009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86992 and 87009. First we will calculate the prime factors of 86992 and 87009.

Prime Factorization of 86992

Prime Factorization of 87009

Now multiplying the highest exponent prime factors to calculate the LCM of 86992 and 87009.

LCM(86992,87009) = 2⁴ × 5437¹ × 3¹ × 13¹ × 23¹ × 97¹
LCM(86992,87009) = 7569086928