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What is the Least Common Multiple of 91043 and 91058?

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 91043 and 91058 is 8290193494.

LCM(91043,91058) = 8290193494

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Least Common Multiple of 91043 and 91058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91043 and 91058, than apply into the LCM equation.

GCF(91043,91058) = 1
LCM(91043,91058) = ( 91043 × 91058) / 1
LCM(91043,91058) = 8290193494 / 1
LCM(91043,91058) = 8290193494

Least Common Multiple (LCM) of 91043 and 91058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91043 and 91058. First we will calculate the prime factors of 91043 and 91058.

Prime Factorization of 91043

Prime factors of 91043 are 181, 503. Prime factorization of 91043 in exponential form is:

91043 = 1811 × 5031

Prime Factorization of 91058

Prime factors of 91058 are 2, 11, 4139. Prime factorization of 91058 in exponential form is:

91058 = 21 × 111 × 41391

Now multiplying the highest exponent prime factors to calculate the LCM of 91043 and 91058.

LCM(91043,91058) = 1811 × 5031 × 21 × 111 × 41391
LCM(91043,91058) = 8290193494