GCF and LCM Calculator Logo

What is the Least Common Multiple of 49549 and 49558?

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 (LCM) of 49549 and 49558 is 2455549342.

LCM(49549,49558) = 2455549342

LCM Calculator and
and

Least Common Multiple of 49549 and 49558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49549 and 49558, than apply into the LCM equation.

GCF(49549,49558) = 1
LCM(49549,49558) = ( 49549 × 49558) / 1
LCM(49549,49558) = 2455549342 / 1
LCM(49549,49558) = 2455549342

Least Common Multiple (LCM) of 49549 and 49558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49549 and 49558. First we will calculate the prime factors of 49549 and 49558.

Prime Factorization of 49549

Prime factors of 49549 are 49549. Prime factorization of 49549 in exponential form is:

49549 = 495491

Prime Factorization of 49558

Prime factors of 49558 are 2, 71, 349. Prime factorization of 49558 in exponential form is:

49558 = 21 × 711 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 49549 and 49558.

LCM(49549,49558) = 495491 × 21 × 711 × 3491
LCM(49549,49558) = 2455549342