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What is the Least Common Multiple of 54488 and 54506?

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 54488 and 54506 is 1484961464.

LCM(54488,54506) = 1484961464

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Least Common Multiple of 54488 and 54506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54488 and 54506, than apply into the LCM equation.

GCF(54488,54506) = 2
LCM(54488,54506) = ( 54488 × 54506) / 2
LCM(54488,54506) = 2969922928 / 2
LCM(54488,54506) = 1484961464

Least Common Multiple (LCM) of 54488 and 54506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54488 and 54506. First we will calculate the prime factors of 54488 and 54506.

Prime Factorization of 54488

Prime factors of 54488 are 2, 7, 139. Prime factorization of 54488 in exponential form is:

54488 = 23 × 72 × 1391

Prime Factorization of 54506

Prime factors of 54506 are 2, 27253. Prime factorization of 54506 in exponential form is:

54506 = 21 × 272531

Now multiplying the highest exponent prime factors to calculate the LCM of 54488 and 54506.

LCM(54488,54506) = 23 × 72 × 1391 × 272531
LCM(54488,54506) = 1484961464