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What is the Least Common Multiple of 91600 and 91610?

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 91600 and 91610 is 839147600.

LCM(91600,91610) = 839147600

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Least Common Multiple of 91600 and 91610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91600 and 91610, than apply into the LCM equation.

GCF(91600,91610) = 10
LCM(91600,91610) = ( 91600 × 91610) / 10
LCM(91600,91610) = 8391476000 / 10
LCM(91600,91610) = 839147600

Least Common Multiple (LCM) of 91600 and 91610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91600 and 91610. First we will calculate the prime factors of 91600 and 91610.

Prime Factorization of 91600

Prime factors of 91600 are 2, 5, 229. Prime factorization of 91600 in exponential form is:

91600 = 24 × 52 × 2291

Prime Factorization of 91610

Prime factors of 91610 are 2, 5, 9161. Prime factorization of 91610 in exponential form is:

91610 = 21 × 51 × 91611

Now multiplying the highest exponent prime factors to calculate the LCM of 91600 and 91610.

LCM(91600,91610) = 24 × 52 × 2291 × 91611
LCM(91600,91610) = 839147600