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What is the Least Common Multiple of 98007 and 98025?

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 98007 and 98025 is 3202378725.

LCM(98007,98025) = 3202378725

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Least Common Multiple of 98007 and 98025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98007 and 98025, than apply into the LCM equation.

GCF(98007,98025) = 3
LCM(98007,98025) = ( 98007 × 98025) / 3
LCM(98007,98025) = 9607136175 / 3
LCM(98007,98025) = 3202378725

Least Common Multiple (LCM) of 98007 and 98025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98007 and 98025. First we will calculate the prime factors of 98007 and 98025.

Prime Factorization of 98007

Prime factors of 98007 are 3, 7, 13, 359. Prime factorization of 98007 in exponential form is:

98007 = 31 × 71 × 131 × 3591

Prime Factorization of 98025

Prime factors of 98025 are 3, 5, 1307. Prime factorization of 98025 in exponential form is:

98025 = 31 × 52 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 98007 and 98025.

LCM(98007,98025) = 31 × 71 × 131 × 3591 × 52 × 13071
LCM(98007,98025) = 3202378725