GCF and LCM Calculator Logo

What is the Least Common Multiple of 54945 and 54950?

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 54945 and 54950 is 603845550.

LCM(54945,54950) = 603845550

LCM Calculator and
and

Least Common Multiple of 54945 and 54950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54945 and 54950, than apply into the LCM equation.

GCF(54945,54950) = 5
LCM(54945,54950) = ( 54945 × 54950) / 5
LCM(54945,54950) = 3019227750 / 5
LCM(54945,54950) = 603845550

Least Common Multiple (LCM) of 54945 and 54950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54945 and 54950. First we will calculate the prime factors of 54945 and 54950.

Prime Factorization of 54945

Prime factors of 54945 are 3, 5, 11, 37. Prime factorization of 54945 in exponential form is:

54945 = 33 × 51 × 111 × 371

Prime Factorization of 54950

Prime factors of 54950 are 2, 5, 7, 157. Prime factorization of 54950 in exponential form is:

54950 = 21 × 52 × 71 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 54945 and 54950.

LCM(54945,54950) = 33 × 52 × 111 × 371 × 21 × 71 × 1571
LCM(54945,54950) = 603845550