GCF and LCM Calculator Logo

What is the Least Common Multiple of 49939 and 49949?

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 49939 and 49949 is 2494403111.

LCM(49939,49949) = 2494403111

LCM Calculator and
and

Least Common Multiple of 49939 and 49949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49939 and 49949, than apply into the LCM equation.

GCF(49939,49949) = 1
LCM(49939,49949) = ( 49939 × 49949) / 1
LCM(49939,49949) = 2494403111 / 1
LCM(49939,49949) = 2494403111

Least Common Multiple (LCM) of 49939 and 49949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49939 and 49949. First we will calculate the prime factors of 49939 and 49949.

Prime Factorization of 49939

Prime factors of 49939 are 49939. Prime factorization of 49939 in exponential form is:

49939 = 499391

Prime Factorization of 49949

Prime factors of 49949 are 199, 251. Prime factorization of 49949 in exponential form is:

49949 = 1991 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 49939 and 49949.

LCM(49939,49949) = 499391 × 1991 × 2511
LCM(49939,49949) = 2494403111