What is the Least Common Multiple of 53784 and 53798?

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 53784 and 53798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53784 and 53798, than apply into the LCM equation.

GCF(53784,53798) = 2
LCM(53784,53798) = ( 53784 × 53798) / 2
LCM(53784,53798) = 2893471632 / 2
LCM(53784,53798) = 1446735816

Least Common Multiple (LCM) of 53784 and 53798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53784 and 53798. First we will calculate the prime factors of 53784 and 53798.

Prime Factorization of 53784

Prime Factorization of 53798

Now multiplying the highest exponent prime factors to calculate the LCM of 53784 and 53798.

LCM(53784,53798) = 2³ × 3⁴ × 83¹ × 37¹ × 727¹
LCM(53784,53798) = 1446735816