What is the Least Common Multiple of 18872 and 18884?

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 18872 and 18884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18872 and 18884, than apply into the LCM equation.

GCF(18872,18884) = 4
LCM(18872,18884) = ( 18872 × 18884) / 4
LCM(18872,18884) = 356378848 / 4
LCM(18872,18884) = 89094712

Least Common Multiple (LCM) of 18872 and 18884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18872 and 18884. First we will calculate the prime factors of 18872 and 18884.

Prime Factorization of 18872

Prime Factorization of 18884

Now multiplying the highest exponent prime factors to calculate the LCM of 18872 and 18884.

LCM(18872,18884) = 2³ × 7¹ × 337¹ × 4721¹
LCM(18872,18884) = 89094712