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What is the Least Common Multiple of 98662 and 98679?

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 98662 and 98679 is 9735867498.

LCM(98662,98679) = 9735867498

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Least Common Multiple of 98662 and 98679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98662 and 98679, than apply into the LCM equation.

GCF(98662,98679) = 1
LCM(98662,98679) = ( 98662 × 98679) / 1
LCM(98662,98679) = 9735867498 / 1
LCM(98662,98679) = 9735867498

Least Common Multiple (LCM) of 98662 and 98679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98662 and 98679. First we will calculate the prime factors of 98662 and 98679.

Prime Factorization of 98662

Prime factors of 98662 are 2, 49331. Prime factorization of 98662 in exponential form is:

98662 = 21 × 493311

Prime Factorization of 98679

Prime factors of 98679 are 3, 7, 37, 127. Prime factorization of 98679 in exponential form is:

98679 = 31 × 71 × 371 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 98662 and 98679.

LCM(98662,98679) = 21 × 493311 × 31 × 71 × 371 × 1271
LCM(98662,98679) = 9735867498