What is the Least Common Multiple of 87909 and 87914?

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 87909 and 87914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87909 and 87914, than apply into the LCM equation.

GCF(87909,87914) = 1
LCM(87909,87914) = ( 87909 × 87914) / 1
LCM(87909,87914) = 7728431826 / 1
LCM(87909,87914) = 7728431826

Least Common Multiple (LCM) of 87909 and 87914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87909 and 87914. First we will calculate the prime factors of 87909 and 87914.

Prime Factorization of 87909

Prime Factorization of 87914

Now multiplying the highest exponent prime factors to calculate the LCM of 87909 and 87914.

LCM(87909,87914) = 3¹ × 29303¹ × 2¹ × 113¹ × 389¹
LCM(87909,87914) = 7728431826