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What is the Least Common Multiple of 91825 and 91834?

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 91825 and 91834 is 8432657050.

LCM(91825,91834) = 8432657050

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Least Common Multiple of 91825 and 91834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91825 and 91834, than apply into the LCM equation.

GCF(91825,91834) = 1
LCM(91825,91834) = ( 91825 × 91834) / 1
LCM(91825,91834) = 8432657050 / 1
LCM(91825,91834) = 8432657050

Least Common Multiple (LCM) of 91825 and 91834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91825 and 91834. First we will calculate the prime factors of 91825 and 91834.

Prime Factorization of 91825

Prime factors of 91825 are 5, 3673. Prime factorization of 91825 in exponential form is:

91825 = 52 × 36731

Prime Factorization of 91834

Prime factors of 91834 are 2, 17, 37, 73. Prime factorization of 91834 in exponential form is:

91834 = 21 × 171 × 371 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 91825 and 91834.

LCM(91825,91834) = 52 × 36731 × 21 × 171 × 371 × 731
LCM(91825,91834) = 8432657050