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What is the Least Common Multiple of 53999 and 54006?

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 53999 and 54006 is 2916269994.

LCM(53999,54006) = 2916269994

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Least Common Multiple of 53999 and 54006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53999 and 54006, than apply into the LCM equation.

GCF(53999,54006) = 1
LCM(53999,54006) = ( 53999 × 54006) / 1
LCM(53999,54006) = 2916269994 / 1
LCM(53999,54006) = 2916269994

Least Common Multiple (LCM) of 53999 and 54006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53999 and 54006. First we will calculate the prime factors of 53999 and 54006.

Prime Factorization of 53999

Prime factors of 53999 are 11, 4909. Prime factorization of 53999 in exponential form is:

53999 = 111 × 49091

Prime Factorization of 54006

Prime factors of 54006 are 2, 3, 9001. Prime factorization of 54006 in exponential form is:

54006 = 21 × 31 × 90011

Now multiplying the highest exponent prime factors to calculate the LCM of 53999 and 54006.

LCM(53999,54006) = 111 × 49091 × 21 × 31 × 90011
LCM(53999,54006) = 2916269994