GCF and LCM Calculator Logo

What is the Least Common Multiple of 54567 and 54574?

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 54567 and 54574 is 2977939458.

LCM(54567,54574) = 2977939458

LCM Calculator and
and

Least Common Multiple of 54567 and 54574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54567 and 54574, than apply into the LCM equation.

GCF(54567,54574) = 1
LCM(54567,54574) = ( 54567 × 54574) / 1
LCM(54567,54574) = 2977939458 / 1
LCM(54567,54574) = 2977939458

Least Common Multiple (LCM) of 54567 and 54574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54567 and 54574. First we will calculate the prime factors of 54567 and 54574.

Prime Factorization of 54567

Prime factors of 54567 are 3, 43, 47. Prime factorization of 54567 in exponential form is:

54567 = 33 × 431 × 471

Prime Factorization of 54574

Prime factors of 54574 are 2, 13, 2099. Prime factorization of 54574 in exponential form is:

54574 = 21 × 131 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 54567 and 54574.

LCM(54567,54574) = 33 × 431 × 471 × 21 × 131 × 20991
LCM(54567,54574) = 2977939458