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What is the Least Common Multiple of 98609 and 98622?

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 98609 and 98622 is 9725016798.

LCM(98609,98622) = 9725016798

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Least Common Multiple of 98609 and 98622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98609 and 98622, than apply into the LCM equation.

GCF(98609,98622) = 1
LCM(98609,98622) = ( 98609 × 98622) / 1
LCM(98609,98622) = 9725016798 / 1
LCM(98609,98622) = 9725016798

Least Common Multiple (LCM) of 98609 and 98622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98609 and 98622. First we will calculate the prime factors of 98609 and 98622.

Prime Factorization of 98609

Prime factors of 98609 are 7, 14087. Prime factorization of 98609 in exponential form is:

98609 = 71 × 140871

Prime Factorization of 98622

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

98622 = 21 × 32 × 54791

Now multiplying the highest exponent prime factors to calculate the LCM of 98609 and 98622.

LCM(98609,98622) = 71 × 140871 × 21 × 32 × 54791
LCM(98609,98622) = 9725016798