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What is the Least Common Multiple of 98418 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 98418 and 98426 is 4843445034.

LCM(98418,98426) = 4843445034

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Least Common Multiple of 98418 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 98418 and 98426, than apply into the LCM equation.

GCF(98418,98426) = 2
LCM(98418,98426) = ( 98418 × 98426) / 2
LCM(98418,98426) = 9686890068 / 2
LCM(98418,98426) = 4843445034

Least Common Multiple (LCM) of 98418 and 98426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98418 and 98426. First we will calculate the prime factors of 98418 and 98426.

Prime Factorization of 98418

Prime factors of 98418 are 2, 3, 47, 349. Prime factorization of 98418 in exponential form is:

98418 = 21 × 31 × 471 × 3491

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 98418 and 98426.

LCM(98418,98426) = 21 × 31 × 471 × 3491 × 291 × 16971
LCM(98418,98426) = 4843445034