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What is the Least Common Multiple of 91667 and 91671?

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 91667 and 91671 is 8403205557.

LCM(91667,91671) = 8403205557

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Least Common Multiple of 91667 and 91671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91667 and 91671, than apply into the LCM equation.

GCF(91667,91671) = 1
LCM(91667,91671) = ( 91667 × 91671) / 1
LCM(91667,91671) = 8403205557 / 1
LCM(91667,91671) = 8403205557

Least Common Multiple (LCM) of 91667 and 91671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91667 and 91671. First we will calculate the prime factors of 91667 and 91671.

Prime Factorization of 91667

Prime factors of 91667 are 31, 2957. Prime factorization of 91667 in exponential form is:

91667 = 311 × 29571

Prime Factorization of 91671

Prime factors of 91671 are 3, 30557. Prime factorization of 91671 in exponential form is:

91671 = 31 × 305571

Now multiplying the highest exponent prime factors to calculate the LCM of 91667 and 91671.

LCM(91667,91671) = 311 × 29571 × 31 × 305571
LCM(91667,91671) = 8403205557