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What is the Least Common Multiple of 98422 and 98426?

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 98422 and 98426 is 4843641886.

LCM(98422,98426) = 4843641886

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Least Common Multiple of 98422 and 98426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98422 and 98426, than apply into the LCM equation.

GCF(98422,98426) = 2
LCM(98422,98426) = ( 98422 × 98426) / 2
LCM(98422,98426) = 9687283772 / 2
LCM(98422,98426) = 4843641886

Least Common Multiple (LCM) of 98422 and 98426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98422 and 98426. First we will calculate the prime factors of 98422 and 98426.

Prime Factorization of 98422

Prime factors of 98422 are 2, 49211. Prime factorization of 98422 in exponential form is:

98422 = 21 × 492111

Prime Factorization of 98426

Prime factors of 98426 are 2, 29, 1697. Prime factorization of 98426 in exponential form is:

98426 = 21 × 291 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 98422 and 98426.

LCM(98422,98426) = 21 × 492111 × 291 × 16971
LCM(98422,98426) = 4843641886