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What is the Least Common Multiple of 91438 and 91451?

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 91451 is 8362096538.

LCM(91438,91451) = 8362096538

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Least Common Multiple of 91438 and 91451 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 91451, than apply into the LCM equation.

GCF(91438,91451) = 1
LCM(91438,91451) = ( 91438 × 91451) / 1
LCM(91438,91451) = 8362096538 / 1
LCM(91438,91451) = 8362096538

Least Common Multiple (LCM) of 91438 and 91451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91438 and 91451. First we will calculate the prime factors of 91438 and 91451.

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 91451

Prime factors of 91451 are 109, 839. Prime factorization of 91451 in exponential form is:

91451 = 1091 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 91438 and 91451.

LCM(91438,91451) = 21 × 1311 × 3491 × 1091 × 8391
LCM(91438,91451) = 8362096538