What is the Least Common Multiple of 53424 and 53438?

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 53438 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 53438, than apply into the LCM equation.

GCF(53424,53438) = 14
LCM(53424,53438) = ( 53424 × 53438) / 14
LCM(53424,53438) = 2854871712 / 14
LCM(53424,53438) = 203919408

Least Common Multiple (LCM) of 53424 and 53438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53424 and 53438. First we will calculate the prime factors of 53424 and 53438.

Prime Factorization of 53424

Prime Factorization of 53438

Now multiplying the highest exponent prime factors to calculate the LCM of 53424 and 53438.

LCM(53424,53438) = 2⁴ × 3² × 7¹ × 53¹ × 11¹ × 347¹
LCM(53424,53438) = 203919408