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What is the Least Common Multiple of 98594 and 98609?

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 98594 and 98609 is 9722255746.

LCM(98594,98609) = 9722255746

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Least Common Multiple of 98594 and 98609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98594 and 98609, than apply into the LCM equation.

GCF(98594,98609) = 1
LCM(98594,98609) = ( 98594 × 98609) / 1
LCM(98594,98609) = 9722255746 / 1
LCM(98594,98609) = 9722255746

Least Common Multiple (LCM) of 98594 and 98609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98594 and 98609. First we will calculate the prime factors of 98594 and 98609.

Prime Factorization of 98594

Prime factors of 98594 are 2, 49297. Prime factorization of 98594 in exponential form is:

98594 = 21 × 492971

Prime Factorization of 98609

Prime factors of 98609 are 7, 14087. Prime factorization of 98609 in exponential form is:

98609 = 71 × 140871

Now multiplying the highest exponent prime factors to calculate the LCM of 98594 and 98609.

LCM(98594,98609) = 21 × 492971 × 71 × 140871
LCM(98594,98609) = 9722255746