What is the Least Common Multiple of 87408 and 87419?

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 87408 and 87419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87408 and 87419, than apply into the LCM equation.

GCF(87408,87419) = 1
LCM(87408,87419) = ( 87408 × 87419) / 1
LCM(87408,87419) = 7641119952 / 1
LCM(87408,87419) = 7641119952

Least Common Multiple (LCM) of 87408 and 87419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87408 and 87419. First we will calculate the prime factors of 87408 and 87419.

Prime Factorization of 87408

Prime Factorization of 87419

Now multiplying the highest exponent prime factors to calculate the LCM of 87408 and 87419.

LCM(87408,87419) = 2⁴ × 3² × 607¹ × 19¹ × 43¹ × 107¹
LCM(87408,87419) = 7641119952