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What is the Least Common Multiple of 91441 and 91461?

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 91441 and 91461 is 8363285301.

LCM(91441,91461) = 8363285301

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Least Common Multiple of 91441 and 91461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91441 and 91461, than apply into the LCM equation.

GCF(91441,91461) = 1
LCM(91441,91461) = ( 91441 × 91461) / 1
LCM(91441,91461) = 8363285301 / 1
LCM(91441,91461) = 8363285301

Least Common Multiple (LCM) of 91441 and 91461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91441 and 91461. First we will calculate the prime factors of 91441 and 91461.

Prime Factorization of 91441

Prime factors of 91441 are 7, 13063. Prime factorization of 91441 in exponential form is:

91441 = 71 × 130631

Prime Factorization of 91461

Prime factors of 91461 are 3, 43, 709. Prime factorization of 91461 in exponential form is:

91461 = 31 × 431 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 91441 and 91461.

LCM(91441,91461) = 71 × 130631 × 31 × 431 × 7091
LCM(91441,91461) = 8363285301