What is the Least Common Multiple of 92880 and 92889?

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 92880 and 92889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92880 and 92889, than apply into the LCM equation.

GCF(92880,92889) = 9
LCM(92880,92889) = ( 92880 × 92889) / 9
LCM(92880,92889) = 8627530320 / 9
LCM(92880,92889) = 958614480

Least Common Multiple (LCM) of 92880 and 92889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92880 and 92889. First we will calculate the prime factors of 92880 and 92889.

Prime Factorization of 92880

Prime Factorization of 92889

Now multiplying the highest exponent prime factors to calculate the LCM of 92880 and 92889.

LCM(92880,92889) = 2⁴ × 3³ × 5¹ × 43¹ × 10321¹
LCM(92880,92889) = 958614480