What is the Least Common Multiple of 92872 and 92884?

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 92872 and 92884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92872 and 92884, than apply into the LCM equation.

GCF(92872,92884) = 4
LCM(92872,92884) = ( 92872 × 92884) / 4
LCM(92872,92884) = 8626322848 / 4
LCM(92872,92884) = 2156580712

Least Common Multiple (LCM) of 92872 and 92884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92872 and 92884. First we will calculate the prime factors of 92872 and 92884.

Prime Factorization of 92872

Prime Factorization of 92884

Now multiplying the highest exponent prime factors to calculate the LCM of 92872 and 92884.

LCM(92872,92884) = 2³ × 13¹ × 19¹ × 47¹ × 11¹ × 2111¹
LCM(92872,92884) = 2156580712