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What is the Least Common Multiple of 98711 and 98726?

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 98711 and 98726 is 9745342186.

LCM(98711,98726) = 9745342186

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Least Common Multiple of 98711 and 98726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98711 and 98726, than apply into the LCM equation.

GCF(98711,98726) = 1
LCM(98711,98726) = ( 98711 × 98726) / 1
LCM(98711,98726) = 9745342186 / 1
LCM(98711,98726) = 9745342186

Least Common Multiple (LCM) of 98711 and 98726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98711 and 98726. First we will calculate the prime factors of 98711 and 98726.

Prime Factorization of 98711

Prime factors of 98711 are 98711. Prime factorization of 98711 in exponential form is:

98711 = 987111

Prime Factorization of 98726

Prime factors of 98726 are 2, 49363. Prime factorization of 98726 in exponential form is:

98726 = 21 × 493631

Now multiplying the highest exponent prime factors to calculate the LCM of 98711 and 98726.

LCM(98711,98726) = 987111 × 21 × 493631
LCM(98711,98726) = 9745342186