What is the Least Common Multiple of 53774 and 53784?

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 53774 and 53784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53774 and 53784, than apply into the LCM equation.

GCF(53774,53784) = 2
LCM(53774,53784) = ( 53774 × 53784) / 2
LCM(53774,53784) = 2892180816 / 2
LCM(53774,53784) = 1446090408

Least Common Multiple (LCM) of 53774 and 53784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53774 and 53784. First we will calculate the prime factors of 53774 and 53784.

Prime Factorization of 53774

Prime Factorization of 53784

Now multiplying the highest exponent prime factors to calculate the LCM of 53774 and 53784.

LCM(53774,53784) = 2³ × 7¹ × 23¹ × 167¹ × 3⁴ × 83¹
LCM(53774,53784) = 1446090408