What is the Least Common Multiple of 53424 and 53441?

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 53424 and 53441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53424 and 53441, than apply into the LCM equation.

GCF(53424,53441) = 1
LCM(53424,53441) = ( 53424 × 53441) / 1
LCM(53424,53441) = 2855031984 / 1
LCM(53424,53441) = 2855031984

Least Common Multiple (LCM) of 53424 and 53441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53424 and 53441. First we will calculate the prime factors of 53424 and 53441.

Prime Factorization of 53424

Prime Factorization of 53441

Now multiplying the highest exponent prime factors to calculate the LCM of 53424 and 53441.

LCM(53424,53441) = 2⁴ × 3² × 7¹ × 53¹ × 53441¹
LCM(53424,53441) = 2855031984