What is the Least Common Multiple of 87400 and 87409?

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 87400 and 87409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87400 and 87409, than apply into the LCM equation.

GCF(87400,87409) = 1
LCM(87400,87409) = ( 87400 × 87409) / 1
LCM(87400,87409) = 7639546600 / 1
LCM(87400,87409) = 7639546600

Least Common Multiple (LCM) of 87400 and 87409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87400 and 87409. First we will calculate the prime factors of 87400 and 87409.

Prime Factorization of 87400

Prime Factorization of 87409

Now multiplying the highest exponent prime factors to calculate the LCM of 87400 and 87409.

LCM(87400,87409) = 2³ × 5² × 19¹ × 23¹ × 7¹ × 12487¹
LCM(87400,87409) = 7639546600