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What is the Least Common Multiple of 98622 and 98629?

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 98622 and 98629 is 9726989238.

LCM(98622,98629) = 9726989238

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Least Common Multiple of 98622 and 98629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98622 and 98629, than apply into the LCM equation.

GCF(98622,98629) = 1
LCM(98622,98629) = ( 98622 × 98629) / 1
LCM(98622,98629) = 9726989238 / 1
LCM(98622,98629) = 9726989238

Least Common Multiple (LCM) of 98622 and 98629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98622 and 98629. First we will calculate the prime factors of 98622 and 98629.

Prime Factorization of 98622

Prime factors of 98622 are 2, 3, 5479. Prime factorization of 98622 in exponential form is:

98622 = 21 × 32 × 54791

Prime Factorization of 98629

Prime factors of 98629 are 19, 29, 179. Prime factorization of 98629 in exponential form is:

98629 = 191 × 291 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 98622 and 98629.

LCM(98622,98629) = 21 × 32 × 54791 × 191 × 291 × 1791
LCM(98622,98629) = 9726989238