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What is the Least Common Multiple of 98225 and 98242?

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 98242 is 9649820450.

LCM(98225,98242) = 9649820450

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Least Common Multiple of 98225 and 98242 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 98242, than apply into the LCM equation.

GCF(98225,98242) = 1
LCM(98225,98242) = ( 98225 × 98242) / 1
LCM(98225,98242) = 9649820450 / 1
LCM(98225,98242) = 9649820450

Least Common Multiple (LCM) of 98225 and 98242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98225 and 98242. First we will calculate the prime factors of 98225 and 98242.

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 98242

Prime factors of 98242 are 2, 49121. Prime factorization of 98242 in exponential form is:

98242 = 21 × 491211

Now multiplying the highest exponent prime factors to calculate the LCM of 98225 and 98242.

LCM(98225,98242) = 52 × 39291 × 21 × 491211
LCM(98225,98242) = 9649820450