What is the Least Common Multiple of 87860 and 87872?

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 87860 and 87872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87860 and 87872, than apply into the LCM equation.

GCF(87860,87872) = 4
LCM(87860,87872) = ( 87860 × 87872) / 4
LCM(87860,87872) = 7720433920 / 4
LCM(87860,87872) = 1930108480

Least Common Multiple (LCM) of 87860 and 87872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87860 and 87872. First we will calculate the prime factors of 87860 and 87872.

Prime Factorization of 87860

Prime Factorization of 87872

Now multiplying the highest exponent prime factors to calculate the LCM of 87860 and 87872.

LCM(87860,87872) = 2⁶ × 5¹ × 23¹ × 191¹ × 1373¹
LCM(87860,87872) = 1930108480