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What is the Least Common Multiple of 91425 and 91437?

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 91425 and 91437 is 2786542575.

LCM(91425,91437) = 2786542575

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Least Common Multiple of 91425 and 91437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91425 and 91437, than apply into the LCM equation.

GCF(91425,91437) = 3
LCM(91425,91437) = ( 91425 × 91437) / 3
LCM(91425,91437) = 8359627725 / 3
LCM(91425,91437) = 2786542575

Least Common Multiple (LCM) of 91425 and 91437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91425 and 91437. First we will calculate the prime factors of 91425 and 91437.

Prime Factorization of 91425

Prime factors of 91425 are 3, 5, 23, 53. Prime factorization of 91425 in exponential form is:

91425 = 31 × 52 × 231 × 531

Prime Factorization of 91437

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

91437 = 31 × 291 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 91425 and 91437.

LCM(91425,91437) = 31 × 52 × 231 × 531 × 291 × 10511
LCM(91425,91437) = 2786542575