What is the Least Common Multiple of 65564 and 65584?

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 65564 and 65584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65564 and 65584, than apply into the LCM equation.

GCF(65564,65584) = 4
LCM(65564,65584) = ( 65564 × 65584) / 4
LCM(65564,65584) = 4299949376 / 4
LCM(65564,65584) = 1074987344

Least Common Multiple (LCM) of 65564 and 65584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65564 and 65584. First we will calculate the prime factors of 65564 and 65584.

Prime Factorization of 65564

Prime Factorization of 65584

Now multiplying the highest exponent prime factors to calculate the LCM of 65564 and 65584.

LCM(65564,65584) = 2⁴ × 37¹ × 443¹ × 4099¹
LCM(65564,65584) = 1074987344