What is the Least Common Multiple of 92414 and 92431?

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 92414 and 92431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92414 and 92431, than apply into the LCM equation.

GCF(92414,92431) = 1
LCM(92414,92431) = ( 92414 × 92431) / 1
LCM(92414,92431) = 8541918434 / 1
LCM(92414,92431) = 8541918434

Least Common Multiple (LCM) of 92414 and 92431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92414 and 92431. First we will calculate the prime factors of 92414 and 92431.

Prime Factorization of 92414

Prime Factorization of 92431

Now multiplying the highest exponent prime factors to calculate the LCM of 92414 and 92431.

LCM(92414,92431) = 2¹ × 7² × 23¹ × 41¹ × 92431¹
LCM(92414,92431) = 8541918434