What is the Least Common Multiple of 92000 and 92008?

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 92000 and 92008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92000 and 92008, than apply into the LCM equation.

GCF(92000,92008) = 8
LCM(92000,92008) = ( 92000 × 92008) / 8
LCM(92000,92008) = 8464736000 / 8
LCM(92000,92008) = 1058092000

Least Common Multiple (LCM) of 92000 and 92008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92000 and 92008. First we will calculate the prime factors of 92000 and 92008.

Prime Factorization of 92000

Prime Factorization of 92008

Now multiplying the highest exponent prime factors to calculate the LCM of 92000 and 92008.

LCM(92000,92008) = 2⁵ × 5³ × 23¹ × 7¹ × 31¹ × 53¹
LCM(92000,92008) = 1058092000