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What is the Least Common Multiple of 98651 and 98662?

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 98651 and 98662 is 9733104962.

LCM(98651,98662) = 9733104962

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Least Common Multiple of 98651 and 98662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98651 and 98662, than apply into the LCM equation.

GCF(98651,98662) = 1
LCM(98651,98662) = ( 98651 × 98662) / 1
LCM(98651,98662) = 9733104962 / 1
LCM(98651,98662) = 9733104962

Least Common Multiple (LCM) of 98651 and 98662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98651 and 98662. First we will calculate the prime factors of 98651 and 98662.

Prime Factorization of 98651

Prime factors of 98651 are 7, 17, 829. Prime factorization of 98651 in exponential form is:

98651 = 71 × 171 × 8291

Prime Factorization of 98662

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

98662 = 21 × 493311

Now multiplying the highest exponent prime factors to calculate the LCM of 98651 and 98662.

LCM(98651,98662) = 71 × 171 × 8291 × 21 × 493311
LCM(98651,98662) = 9733104962