GCF and LCM Calculator Logo

What is the Least Common Multiple of 49363 and 49368?

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 49363 and 49368 is 2436952584.

LCM(49363,49368) = 2436952584

LCM Calculator and
and

Least Common Multiple of 49363 and 49368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49363 and 49368, than apply into the LCM equation.

GCF(49363,49368) = 1
LCM(49363,49368) = ( 49363 × 49368) / 1
LCM(49363,49368) = 2436952584 / 1
LCM(49363,49368) = 2436952584

Least Common Multiple (LCM) of 49363 and 49368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49363 and 49368. First we will calculate the prime factors of 49363 and 49368.

Prime Factorization of 49363

Prime factors of 49363 are 49363. Prime factorization of 49363 in exponential form is:

49363 = 493631

Prime Factorization of 49368

Prime factors of 49368 are 2, 3, 11, 17. Prime factorization of 49368 in exponential form is:

49368 = 23 × 31 × 112 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 49363 and 49368.

LCM(49363,49368) = 493631 × 23 × 31 × 112 × 171
LCM(49363,49368) = 2436952584