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What is the Least Common Multiple of 91438 and 91445?

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 91438 and 91445 is 8361547910.

LCM(91438,91445) = 8361547910

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Least Common Multiple of 91438 and 91445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91438 and 91445, than apply into the LCM equation.

GCF(91438,91445) = 1
LCM(91438,91445) = ( 91438 × 91445) / 1
LCM(91438,91445) = 8361547910 / 1
LCM(91438,91445) = 8361547910

Least Common Multiple (LCM) of 91438 and 91445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91438 and 91445. First we will calculate the prime factors of 91438 and 91445.

Prime Factorization of 91438

Prime factors of 91438 are 2, 131, 349. Prime factorization of 91438 in exponential form is:

91438 = 21 × 1311 × 3491

Prime Factorization of 91445

Prime factors of 91445 are 5, 18289. Prime factorization of 91445 in exponential form is:

91445 = 51 × 182891

Now multiplying the highest exponent prime factors to calculate the LCM of 91438 and 91445.

LCM(91438,91445) = 21 × 1311 × 3491 × 51 × 182891
LCM(91438,91445) = 8361547910