What is the Least Common Multiple of 87381 and 87400?

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 87381 and 87400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87381 and 87400, than apply into the LCM equation.

GCF(87381,87400) = 19
LCM(87381,87400) = ( 87381 × 87400) / 19
LCM(87381,87400) = 7637099400 / 19
LCM(87381,87400) = 401952600

Least Common Multiple (LCM) of 87381 and 87400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87381 and 87400. First we will calculate the prime factors of 87381 and 87400.

Prime Factorization of 87381

Prime Factorization of 87400

Now multiplying the highest exponent prime factors to calculate the LCM of 87381 and 87400.

LCM(87381,87400) = 3² × 7¹ × 19¹ × 73¹ × 2³ × 5² × 23¹
LCM(87381,87400) = 401952600