What is the Least Common Multiple of 92870 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 92870 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 92870 and 92880, than apply into the LCM equation.

GCF(92870,92880) = 10
LCM(92870,92880) = ( 92870 × 92880) / 10
LCM(92870,92880) = 8625765600 / 10
LCM(92870,92880) = 862576560

Least Common Multiple (LCM) of 92870 and 92880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92870 and 92880. First we will calculate the prime factors of 92870 and 92880.

Prime Factorization of 92870

Prime Factorization of 92880

Now multiplying the highest exponent prime factors to calculate the LCM of 92870 and 92880.

LCM(92870,92880) = 2⁴ × 5¹ × 37¹ × 251¹ × 3³ × 43¹
LCM(92870,92880) = 862576560