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What is the Least Common Multiple of 91914 and 91920?

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 91914 and 91920 is 1408122480.

LCM(91914,91920) = 1408122480

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Least Common Multiple of 91914 and 91920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91914 and 91920, than apply into the LCM equation.

GCF(91914,91920) = 6
LCM(91914,91920) = ( 91914 × 91920) / 6
LCM(91914,91920) = 8448734880 / 6
LCM(91914,91920) = 1408122480

Least Common Multiple (LCM) of 91914 and 91920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91914 and 91920. First we will calculate the prime factors of 91914 and 91920.

Prime Factorization of 91914

Prime factors of 91914 are 2, 3, 15319. Prime factorization of 91914 in exponential form is:

91914 = 21 × 31 × 153191

Prime Factorization of 91920

Prime factors of 91920 are 2, 3, 5, 383. Prime factorization of 91920 in exponential form is:

91920 = 24 × 31 × 51 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 91914 and 91920.

LCM(91914,91920) = 24 × 31 × 153191 × 51 × 3831
LCM(91914,91920) = 1408122480