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What is the Least Common Multiple of 54104 and 54111?

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 54104 and 54111 is 2927621544.

LCM(54104,54111) = 2927621544

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Least Common Multiple of 54104 and 54111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54104 and 54111, than apply into the LCM equation.

GCF(54104,54111) = 1
LCM(54104,54111) = ( 54104 × 54111) / 1
LCM(54104,54111) = 2927621544 / 1
LCM(54104,54111) = 2927621544

Least Common Multiple (LCM) of 54104 and 54111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54104 and 54111. First we will calculate the prime factors of 54104 and 54111.

Prime Factorization of 54104

Prime factors of 54104 are 2, 6763. Prime factorization of 54104 in exponential form is:

54104 = 23 × 67631

Prime Factorization of 54111

Prime factors of 54111 are 3, 17, 1061. Prime factorization of 54111 in exponential form is:

54111 = 31 × 171 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 54104 and 54111.

LCM(54104,54111) = 23 × 67631 × 31 × 171 × 10611
LCM(54104,54111) = 2927621544