What is the Least Common Multiple of 61344 and 61354?

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 61344 and 61354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61344 and 61354, than apply into the LCM equation.

GCF(61344,61354) = 2
LCM(61344,61354) = ( 61344 × 61354) / 2
LCM(61344,61354) = 3763699776 / 2
LCM(61344,61354) = 1881849888

Least Common Multiple (LCM) of 61344 and 61354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61344 and 61354. First we will calculate the prime factors of 61344 and 61354.

Prime Factorization of 61344

Prime Factorization of 61354

Now multiplying the highest exponent prime factors to calculate the LCM of 61344 and 61354.

LCM(61344,61354) = 2⁵ × 3³ × 71¹ × 30677¹
LCM(61344,61354) = 1881849888