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What is the Least Common Multiple of 91204 and 91210?

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 91204 and 91210 is 4159358420.

LCM(91204,91210) = 4159358420

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Least Common Multiple of 91204 and 91210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91204 and 91210, than apply into the LCM equation.

GCF(91204,91210) = 2
LCM(91204,91210) = ( 91204 × 91210) / 2
LCM(91204,91210) = 8318716840 / 2
LCM(91204,91210) = 4159358420

Least Common Multiple (LCM) of 91204 and 91210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91204 and 91210. First we will calculate the prime factors of 91204 and 91210.

Prime Factorization of 91204

Prime factors of 91204 are 2, 151. Prime factorization of 91204 in exponential form is:

91204 = 22 × 1512

Prime Factorization of 91210

Prime factors of 91210 are 2, 5, 7, 1303. Prime factorization of 91210 in exponential form is:

91210 = 21 × 51 × 71 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 91204 and 91210.

LCM(91204,91210) = 22 × 1512 × 51 × 71 × 13031
LCM(91204,91210) = 4159358420