What is the Least Common Multiple of 92872 and 92880?

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 92880 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 92880, than apply into the LCM equation.

GCF(92872,92880) = 8
LCM(92872,92880) = ( 92872 × 92880) / 8
LCM(92872,92880) = 8625951360 / 8
LCM(92872,92880) = 1078243920

Least Common Multiple (LCM) of 92872 and 92880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92872 and 92880. First we will calculate the prime factors of 92872 and 92880.

Prime Factorization of 92872

Prime Factorization of 92880

Now multiplying the highest exponent prime factors to calculate the LCM of 92872 and 92880.

LCM(92872,92880) = 2⁴ × 13¹ × 19¹ × 47¹ × 3³ × 5¹ × 43¹
LCM(92872,92880) = 1078243920