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What is the Least Common Multiple of 91437 and 91454?

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 91437 and 91454 is 8362279398.

LCM(91437,91454) = 8362279398

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Least Common Multiple of 91437 and 91454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91437 and 91454, than apply into the LCM equation.

GCF(91437,91454) = 1
LCM(91437,91454) = ( 91437 × 91454) / 1
LCM(91437,91454) = 8362279398 / 1
LCM(91437,91454) = 8362279398

Least Common Multiple (LCM) of 91437 and 91454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91437 and 91454. First we will calculate the prime factors of 91437 and 91454.

Prime Factorization of 91437

Prime factors of 91437 are 3, 29, 1051. Prime factorization of 91437 in exponential form is:

91437 = 31 × 291 × 10511

Prime Factorization of 91454

Prime factors of 91454 are 2, 11, 4157. Prime factorization of 91454 in exponential form is:

91454 = 21 × 111 × 41571

Now multiplying the highest exponent prime factors to calculate the LCM of 91437 and 91454.

LCM(91437,91454) = 31 × 291 × 10511 × 21 × 111 × 41571
LCM(91437,91454) = 8362279398