What is the Least Common Multiple of 53574 and 53584?

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 53574 and 53584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53574 and 53584, than apply into the LCM equation.

GCF(53574,53584) = 2
LCM(53574,53584) = ( 53574 × 53584) / 2
LCM(53574,53584) = 2870709216 / 2
LCM(53574,53584) = 1435354608

Least Common Multiple (LCM) of 53574 and 53584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53574 and 53584. First we will calculate the prime factors of 53574 and 53584.

Prime Factorization of 53574

Prime Factorization of 53584

Now multiplying the highest exponent prime factors to calculate the LCM of 53574 and 53584.

LCM(53574,53584) = 2⁴ × 3¹ × 8929¹ × 17¹ × 197¹
LCM(53574,53584) = 1435354608