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What is the Least Common Multiple of 54040 and 54049?

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 54040 and 54049 is 2920807960.

LCM(54040,54049) = 2920807960

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Least Common Multiple of 54040 and 54049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54040 and 54049, than apply into the LCM equation.

GCF(54040,54049) = 1
LCM(54040,54049) = ( 54040 × 54049) / 1
LCM(54040,54049) = 2920807960 / 1
LCM(54040,54049) = 2920807960

Least Common Multiple (LCM) of 54040 and 54049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54040 and 54049. First we will calculate the prime factors of 54040 and 54049.

Prime Factorization of 54040

Prime factors of 54040 are 2, 5, 7, 193. Prime factorization of 54040 in exponential form is:

54040 = 23 × 51 × 71 × 1931

Prime Factorization of 54049

Prime factors of 54049 are 54049. Prime factorization of 54049 in exponential form is:

54049 = 540491

Now multiplying the highest exponent prime factors to calculate the LCM of 54040 and 54049.

LCM(54040,54049) = 23 × 51 × 71 × 1931 × 540491
LCM(54040,54049) = 2920807960