What is the Least Common Multiple of 87040 and 87059?

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 87040 and 87059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87040 and 87059, than apply into the LCM equation.

GCF(87040,87059) = 1
LCM(87040,87059) = ( 87040 × 87059) / 1
LCM(87040,87059) = 7577615360 / 1
LCM(87040,87059) = 7577615360

Least Common Multiple (LCM) of 87040 and 87059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87040 and 87059. First we will calculate the prime factors of 87040 and 87059.

Prime Factorization of 87040

Prime Factorization of 87059

Now multiplying the highest exponent prime factors to calculate the LCM of 87040 and 87059.

LCM(87040,87059) = 2¹⁰ × 5¹ × 17¹ × 7¹ × 12437¹
LCM(87040,87059) = 7577615360