What is the Least Common Multiple of 87009 and 87026?

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 87009 and 87026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87009 and 87026, than apply into the LCM equation.

GCF(87009,87026) = 1
LCM(87009,87026) = ( 87009 × 87026) / 1
LCM(87009,87026) = 7572045234 / 1
LCM(87009,87026) = 7572045234

Least Common Multiple (LCM) of 87009 and 87026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87009 and 87026. First we will calculate the prime factors of 87009 and 87026.

Prime Factorization of 87009

Prime Factorization of 87026

Now multiplying the highest exponent prime factors to calculate the LCM of 87009 and 87026.

LCM(87009,87026) = 3¹ × 13¹ × 23¹ × 97¹ × 2¹ × 53¹ × 821¹
LCM(87009,87026) = 7572045234