What is the Least Common Multiple of 97827 and 97842?

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 97827 and 97842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97827 and 97842, than apply into the LCM equation.

GCF(97827,97842) = 3
LCM(97827,97842) = ( 97827 × 97842) / 3
LCM(97827,97842) = 9571589334 / 3
LCM(97827,97842) = 3190529778

Least Common Multiple (LCM) of 97827 and 97842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97827 and 97842. First we will calculate the prime factors of 97827 and 97842.

Prime Factorization of 97827

Prime Factorization of 97842

Now multiplying the highest exponent prime factors to calculate the LCM of 97827 and 97842.

LCM(97827,97842) = 3¹ × 32609¹ × 2¹ × 23¹ × 709¹
LCM(97827,97842) = 3190529778