What is the Least Common Multiple of 97840 and 97857?

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 97840 and 97857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97840 and 97857, than apply into the LCM equation.

GCF(97840,97857) = 1
LCM(97840,97857) = ( 97840 × 97857) / 1
LCM(97840,97857) = 9574328880 / 1
LCM(97840,97857) = 9574328880

Least Common Multiple (LCM) of 97840 and 97857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97840 and 97857. First we will calculate the prime factors of 97840 and 97857.

Prime Factorization of 97840

Prime Factorization of 97857

Now multiplying the highest exponent prime factors to calculate the LCM of 97840 and 97857.

LCM(97840,97857) = 2⁴ × 5¹ × 1223¹ × 3² × 83¹ × 131¹
LCM(97840,97857) = 9574328880