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What is the Least Common Multiple of 98225 and 98235?

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 98225 and 98235 is 1929826575.

LCM(98225,98235) = 1929826575

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Least Common Multiple of 98225 and 98235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98225 and 98235, than apply into the LCM equation.

GCF(98225,98235) = 5
LCM(98225,98235) = ( 98225 × 98235) / 5
LCM(98225,98235) = 9649132875 / 5
LCM(98225,98235) = 1929826575

Least Common Multiple (LCM) of 98225 and 98235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98225 and 98235. First we will calculate the prime factors of 98225 and 98235.

Prime Factorization of 98225

Prime factors of 98225 are 5, 3929. Prime factorization of 98225 in exponential form is:

98225 = 52 × 39291

Prime Factorization of 98235

Prime factors of 98235 are 3, 5, 37, 59. Prime factorization of 98235 in exponential form is:

98235 = 32 × 51 × 371 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 98225 and 98235.

LCM(98225,98235) = 52 × 39291 × 32 × 371 × 591
LCM(98225,98235) = 1929826575