What is the Least Common Multiple of 97836 and 97849?

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 97836 and 97849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97836 and 97849, than apply into the LCM equation.

GCF(97836,97849) = 1
LCM(97836,97849) = ( 97836 × 97849) / 1
LCM(97836,97849) = 9573154764 / 1
LCM(97836,97849) = 9573154764

Least Common Multiple (LCM) of 97836 and 97849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97836 and 97849. First we will calculate the prime factors of 97836 and 97849.

Prime Factorization of 97836

Prime Factorization of 97849

Now multiplying the highest exponent prime factors to calculate the LCM of 97836 and 97849.

LCM(97836,97849) = 2² × 3¹ × 31¹ × 263¹ × 97849¹
LCM(97836,97849) = 9573154764