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What is the Least Common Multiple of 91147 and 91155?

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 91147 and 91155 is 8308504785.

LCM(91147,91155) = 8308504785

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Least Common Multiple of 91147 and 91155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91147 and 91155, than apply into the LCM equation.

GCF(91147,91155) = 1
LCM(91147,91155) = ( 91147 × 91155) / 1
LCM(91147,91155) = 8308504785 / 1
LCM(91147,91155) = 8308504785

Least Common Multiple (LCM) of 91147 and 91155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91147 and 91155. First we will calculate the prime factors of 91147 and 91155.

Prime Factorization of 91147

Prime factors of 91147 are 7, 29, 449. Prime factorization of 91147 in exponential form is:

91147 = 71 × 291 × 4491

Prime Factorization of 91155

Prime factors of 91155 are 3, 5, 59, 103. Prime factorization of 91155 in exponential form is:

91155 = 31 × 51 × 591 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 91147 and 91155.

LCM(91147,91155) = 71 × 291 × 4491 × 31 × 51 × 591 × 1031
LCM(91147,91155) = 8308504785