What is the Least Common Multiple of 97833 and 97852?

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 97833 and 97852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97833 and 97852, than apply into the LCM equation.

GCF(97833,97852) = 1
LCM(97833,97852) = ( 97833 × 97852) / 1
LCM(97833,97852) = 9573154716 / 1
LCM(97833,97852) = 9573154716

Least Common Multiple (LCM) of 97833 and 97852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97833 and 97852. First we will calculate the prime factors of 97833 and 97852.

Prime Factorization of 97833

Prime Factorization of 97852

Now multiplying the highest exponent prime factors to calculate the LCM of 97833 and 97852.

LCM(97833,97852) = 3¹ × 32611¹ × 2² × 17¹ × 1439¹
LCM(97833,97852) = 9573154716