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What is the Least Common Multiple of 91420 and 91424?

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 91420 and 91424 is 2089495520.

LCM(91420,91424) = 2089495520

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Least Common Multiple of 91420 and 91424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91420 and 91424, than apply into the LCM equation.

GCF(91420,91424) = 4
LCM(91420,91424) = ( 91420 × 91424) / 4
LCM(91420,91424) = 8357982080 / 4
LCM(91420,91424) = 2089495520

Least Common Multiple (LCM) of 91420 and 91424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91420 and 91424. First we will calculate the prime factors of 91420 and 91424.

Prime Factorization of 91420

Prime factors of 91420 are 2, 5, 7, 653. Prime factorization of 91420 in exponential form is:

91420 = 22 × 51 × 71 × 6531

Prime Factorization of 91424

Prime factors of 91424 are 2, 2857. Prime factorization of 91424 in exponential form is:

91424 = 25 × 28571

Now multiplying the highest exponent prime factors to calculate the LCM of 91420 and 91424.

LCM(91420,91424) = 25 × 51 × 71 × 6531 × 28571
LCM(91420,91424) = 2089495520