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What is the Least Common Multiple of 98023 and 98034?

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 98023 and 98034 is 9609586782.

LCM(98023,98034) = 9609586782

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Least Common Multiple of 98023 and 98034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98023 and 98034, than apply into the LCM equation.

GCF(98023,98034) = 1
LCM(98023,98034) = ( 98023 × 98034) / 1
LCM(98023,98034) = 9609586782 / 1
LCM(98023,98034) = 9609586782

Least Common Multiple (LCM) of 98023 and 98034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98023 and 98034. First we will calculate the prime factors of 98023 and 98034.

Prime Factorization of 98023

Prime factors of 98023 are 83, 1181. Prime factorization of 98023 in exponential form is:

98023 = 831 × 11811

Prime Factorization of 98034

Prime factors of 98034 are 2, 3, 16339. Prime factorization of 98034 in exponential form is:

98034 = 21 × 31 × 163391

Now multiplying the highest exponent prime factors to calculate the LCM of 98023 and 98034.

LCM(98023,98034) = 831 × 11811 × 21 × 31 × 163391
LCM(98023,98034) = 9609586782