What is the Least Common Multiple of 52416 and 52423?

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 52416 and 52423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52416 and 52423, than apply into the LCM equation.

GCF(52416,52423) = 7
LCM(52416,52423) = ( 52416 × 52423) / 7
LCM(52416,52423) = 2747803968 / 7
LCM(52416,52423) = 392543424

Least Common Multiple (LCM) of 52416 and 52423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52416 and 52423. First we will calculate the prime factors of 52416 and 52423.

Prime Factorization of 52416

Prime Factorization of 52423

Now multiplying the highest exponent prime factors to calculate the LCM of 52416 and 52423.

LCM(52416,52423) = 2⁶ × 3² × 7¹ × 13¹ × 7489¹
LCM(52416,52423) = 392543424