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What is the Least Common Multiple of 91412 and 91430?

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 91412 and 91430 is 4178899580.

LCM(91412,91430) = 4178899580

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Least Common Multiple of 91412 and 91430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91412 and 91430, than apply into the LCM equation.

GCF(91412,91430) = 2
LCM(91412,91430) = ( 91412 × 91430) / 2
LCM(91412,91430) = 8357799160 / 2
LCM(91412,91430) = 4178899580

Least Common Multiple (LCM) of 91412 and 91430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91412 and 91430. First we will calculate the prime factors of 91412 and 91430.

Prime Factorization of 91412

Prime factors of 91412 are 2, 22853. Prime factorization of 91412 in exponential form is:

91412 = 22 × 228531

Prime Factorization of 91430

Prime factors of 91430 are 2, 5, 41, 223. Prime factorization of 91430 in exponential form is:

91430 = 21 × 51 × 411 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 91412 and 91430.

LCM(91412,91430) = 22 × 228531 × 51 × 411 × 2231
LCM(91412,91430) = 4178899580