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What is the Least Common Multiple of 91872 and 91880?

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 91872 and 91880 is 1055149920.

LCM(91872,91880) = 1055149920

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Least Common Multiple of 91872 and 91880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91872 and 91880, than apply into the LCM equation.

GCF(91872,91880) = 8
LCM(91872,91880) = ( 91872 × 91880) / 8
LCM(91872,91880) = 8441199360 / 8
LCM(91872,91880) = 1055149920

Least Common Multiple (LCM) of 91872 and 91880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91872 and 91880. First we will calculate the prime factors of 91872 and 91880.

Prime Factorization of 91872

Prime factors of 91872 are 2, 3, 11, 29. Prime factorization of 91872 in exponential form is:

91872 = 25 × 32 × 111 × 291

Prime Factorization of 91880

Prime factors of 91880 are 2, 5, 2297. Prime factorization of 91880 in exponential form is:

91880 = 23 × 51 × 22971

Now multiplying the highest exponent prime factors to calculate the LCM of 91872 and 91880.

LCM(91872,91880) = 25 × 32 × 111 × 291 × 51 × 22971
LCM(91872,91880) = 1055149920