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What is the Least Common Multiple of 54054 and 54058?

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 54054 and 54058 is 1461025566.

LCM(54054,54058) = 1461025566

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Least Common Multiple of 54054 and 54058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54054 and 54058, than apply into the LCM equation.

GCF(54054,54058) = 2
LCM(54054,54058) = ( 54054 × 54058) / 2
LCM(54054,54058) = 2922051132 / 2
LCM(54054,54058) = 1461025566

Least Common Multiple (LCM) of 54054 and 54058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54054 and 54058. First we will calculate the prime factors of 54054 and 54058.

Prime Factorization of 54054

Prime factors of 54054 are 2, 3, 7, 11, 13. Prime factorization of 54054 in exponential form is:

54054 = 21 × 33 × 71 × 111 × 131

Prime Factorization of 54058

Prime factors of 54058 are 2, 151, 179. Prime factorization of 54058 in exponential form is:

54058 = 21 × 1511 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 54054 and 54058.

LCM(54054,54058) = 21 × 33 × 71 × 111 × 131 × 1511 × 1791
LCM(54054,54058) = 1461025566