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What is the Least Common Multiple of 82073 and 82091?

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 82073 and 82091 is 6737454643.

LCM(82073,82091) = 6737454643

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Least Common Multiple of 82073 and 82091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82073 and 82091, than apply into the LCM equation.

GCF(82073,82091) = 1
LCM(82073,82091) = ( 82073 × 82091) / 1
LCM(82073,82091) = 6737454643 / 1
LCM(82073,82091) = 6737454643

Least Common Multiple (LCM) of 82073 and 82091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82073 and 82091. First we will calculate the prime factors of 82073 and 82091.

Prime Factorization of 82073

Prime factors of 82073 are 82073. Prime factorization of 82073 in exponential form is:

82073 = 820731

Prime Factorization of 82091

Prime factors of 82091 are 103, 797. Prime factorization of 82091 in exponential form is:

82091 = 1031 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 82073 and 82091.

LCM(82073,82091) = 820731 × 1031 × 7971
LCM(82073,82091) = 6737454643