What is the Least Common Multiple of 97431 and 97443?

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 97431 and 97443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97431 and 97443, than apply into the LCM equation.

GCF(97431,97443) = 3
LCM(97431,97443) = ( 97431 × 97443) / 3
LCM(97431,97443) = 9493968933 / 3
LCM(97431,97443) = 3164656311

Least Common Multiple (LCM) of 97431 and 97443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97431 and 97443. First we will calculate the prime factors of 97431 and 97443.

Prime Factorization of 97431

Prime Factorization of 97443

Now multiplying the highest exponent prime factors to calculate the LCM of 97431 and 97443.

LCM(97431,97443) = 3⁵ × 47¹ × 691¹ × 401¹
LCM(97431,97443) = 3164656311