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What is the Least Common Multiple of 98522 and 98533?

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 98522 and 98533 is 9707668226.

LCM(98522,98533) = 9707668226

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Least Common Multiple of 98522 and 98533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98522 and 98533, than apply into the LCM equation.

GCF(98522,98533) = 1
LCM(98522,98533) = ( 98522 × 98533) / 1
LCM(98522,98533) = 9707668226 / 1
LCM(98522,98533) = 9707668226

Least Common Multiple (LCM) of 98522 and 98533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98522 and 98533. First we will calculate the prime factors of 98522 and 98533.

Prime Factorization of 98522

Prime factors of 98522 are 2, 49261. Prime factorization of 98522 in exponential form is:

98522 = 21 × 492611

Prime Factorization of 98533

Prime factors of 98533 are 98533. Prime factorization of 98533 in exponential form is:

98533 = 985331

Now multiplying the highest exponent prime factors to calculate the LCM of 98522 and 98533.

LCM(98522,98533) = 21 × 492611 × 985331
LCM(98522,98533) = 9707668226