What is the Least Common Multiple of 97800 and 97817?

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 97800 and 97817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97800 and 97817, than apply into the LCM equation.

GCF(97800,97817) = 1
LCM(97800,97817) = ( 97800 × 97817) / 1
LCM(97800,97817) = 9566502600 / 1
LCM(97800,97817) = 9566502600

Least Common Multiple (LCM) of 97800 and 97817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97800 and 97817. First we will calculate the prime factors of 97800 and 97817.

Prime Factorization of 97800

Prime Factorization of 97817

Now multiplying the highest exponent prime factors to calculate the LCM of 97800 and 97817.

LCM(97800,97817) = 2³ × 3¹ × 5² × 163¹ × 29¹ × 3373¹
LCM(97800,97817) = 9566502600