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What is the Least Common Multiple of 28464 and 28480?

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 28464 and 28480 is 50665920.

LCM(28464,28480) = 50665920

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Least Common Multiple of 28464 and 28480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28464 and 28480, than apply into the LCM equation.

GCF(28464,28480) = 16
LCM(28464,28480) = ( 28464 × 28480) / 16
LCM(28464,28480) = 810654720 / 16
LCM(28464,28480) = 50665920

Least Common Multiple (LCM) of 28464 and 28480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28464 and 28480. First we will calculate the prime factors of 28464 and 28480.

Prime Factorization of 28464

Prime factors of 28464 are 2, 3, 593. Prime factorization of 28464 in exponential form is:

28464 = 24 × 31 × 5931

Prime Factorization of 28480

Prime factors of 28480 are 2, 5, 89. Prime factorization of 28480 in exponential form is:

28480 = 26 × 51 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 28464 and 28480.

LCM(28464,28480) = 26 × 31 × 5931 × 51 × 891
LCM(28464,28480) = 50665920