What is the Least Common Multiple of 97000 and 97005?

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 97000 and 97005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97000 and 97005, than apply into the LCM equation.

GCF(97000,97005) = 5
LCM(97000,97005) = ( 97000 × 97005) / 5
LCM(97000,97005) = 9409485000 / 5
LCM(97000,97005) = 1881897000

Least Common Multiple (LCM) of 97000 and 97005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97000 and 97005. First we will calculate the prime factors of 97000 and 97005.

Prime Factorization of 97000

Prime Factorization of 97005

Now multiplying the highest exponent prime factors to calculate the LCM of 97000 and 97005.

LCM(97000,97005) = 2³ × 5³ × 97¹ × 3¹ × 29¹ × 223¹
LCM(97000,97005) = 1881897000