What is the Least Common Multiple of 97080 and 97089?

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 97080 and 97089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97080 and 97089, than apply into the LCM equation.

GCF(97080,97089) = 3
LCM(97080,97089) = ( 97080 × 97089) / 3
LCM(97080,97089) = 9425400120 / 3
LCM(97080,97089) = 3141800040

Least Common Multiple (LCM) of 97080 and 97089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97080 and 97089. First we will calculate the prime factors of 97080 and 97089.

Prime Factorization of 97080

Prime Factorization of 97089

Now multiplying the highest exponent prime factors to calculate the LCM of 97080 and 97089.

LCM(97080,97089) = 2³ × 3¹ × 5¹ × 809¹ × 32363¹
LCM(97080,97089) = 3141800040