What is the Least Common Multiple of 92424 and 92438?

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 92424 and 92438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92424 and 92438, than apply into the LCM equation.

GCF(92424,92438) = 2
LCM(92424,92438) = ( 92424 × 92438) / 2
LCM(92424,92438) = 8543489712 / 2
LCM(92424,92438) = 4271744856

Least Common Multiple (LCM) of 92424 and 92438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92424 and 92438. First we will calculate the prime factors of 92424 and 92438.

Prime Factorization of 92424

Prime Factorization of 92438

Now multiplying the highest exponent prime factors to calculate the LCM of 92424 and 92438.

LCM(92424,92438) = 2³ × 3¹ × 3851¹ × 46219¹
LCM(92424,92438) = 4271744856