GCF and LCM Calculator Logo

What is the Least Common Multiple of 54949 and 54968?

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 54949 and 54968 is 3020436632.

LCM(54949,54968) = 3020436632

LCM Calculator and
and

Least Common Multiple of 54949 and 54968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54949 and 54968, than apply into the LCM equation.

GCF(54949,54968) = 1
LCM(54949,54968) = ( 54949 × 54968) / 1
LCM(54949,54968) = 3020436632 / 1
LCM(54949,54968) = 3020436632

Least Common Multiple (LCM) of 54949 and 54968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54949 and 54968. First we will calculate the prime factors of 54949 and 54968.

Prime Factorization of 54949

Prime factors of 54949 are 54949. Prime factorization of 54949 in exponential form is:

54949 = 549491

Prime Factorization of 54968

Prime factors of 54968 are 2, 6871. Prime factorization of 54968 in exponential form is:

54968 = 23 × 68711

Now multiplying the highest exponent prime factors to calculate the LCM of 54949 and 54968.

LCM(54949,54968) = 549491 × 23 × 68711
LCM(54949,54968) = 3020436632