What is the Least Common Multiple of 87872 and 87884?

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 87872 and 87884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87872 and 87884, than apply into the LCM equation.

GCF(87872,87884) = 4
LCM(87872,87884) = ( 87872 × 87884) / 4
LCM(87872,87884) = 7722542848 / 4
LCM(87872,87884) = 1930635712

Least Common Multiple (LCM) of 87872 and 87884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87872 and 87884. First we will calculate the prime factors of 87872 and 87884.

Prime Factorization of 87872

Prime Factorization of 87884

Now multiplying the highest exponent prime factors to calculate the LCM of 87872 and 87884.

LCM(87872,87884) = 2⁶ × 1373¹ × 127¹ × 173¹
LCM(87872,87884) = 1930635712