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What is the Least Common Multiple of 91430 and 91434?

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 91430 and 91434 is 4179905310.

LCM(91430,91434) = 4179905310

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Least Common Multiple of 91430 and 91434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91430 and 91434, than apply into the LCM equation.

GCF(91430,91434) = 2
LCM(91430,91434) = ( 91430 × 91434) / 2
LCM(91430,91434) = 8359810620 / 2
LCM(91430,91434) = 4179905310

Least Common Multiple (LCM) of 91430 and 91434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91430 and 91434. First we will calculate the prime factors of 91430 and 91434.

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

Prime Factorization of 91434

Prime factors of 91434 are 2, 3, 7, 311. Prime factorization of 91434 in exponential form is:

91434 = 21 × 31 × 72 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 91430 and 91434.

LCM(91430,91434) = 21 × 51 × 411 × 2231 × 31 × 72 × 3111
LCM(91430,91434) = 4179905310