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What is the Least Common Multiple of 98422 and 98438?

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 98438 is 4844232418.

LCM(98422,98438) = 4844232418

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Least Common Multiple of 98422 and 98438 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 98438, than apply into the LCM equation.

GCF(98422,98438) = 2
LCM(98422,98438) = ( 98422 × 98438) / 2
LCM(98422,98438) = 9688464836 / 2
LCM(98422,98438) = 4844232418

Least Common Multiple (LCM) of 98422 and 98438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98422 and 98438. First we will calculate the prime factors of 98422 and 98438.

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 98438

Prime factors of 98438 are 2, 83, 593. Prime factorization of 98438 in exponential form is:

98438 = 21 × 831 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 98422 and 98438.

LCM(98422,98438) = 21 × 492111 × 831 × 5931
LCM(98422,98438) = 4844232418