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What is the Least Common Multiple of 97241 and 97246?

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 97241 and 97246 is 9456298286.

LCM(97241,97246) = 9456298286

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Least Common Multiple of 97241 and 97246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97241 and 97246, than apply into the LCM equation.

GCF(97241,97246) = 1
LCM(97241,97246) = ( 97241 × 97246) / 1
LCM(97241,97246) = 9456298286 / 1
LCM(97241,97246) = 9456298286

Least Common Multiple (LCM) of 97241 and 97246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97241 and 97246. First we will calculate the prime factors of 97241 and 97246.

Prime Factorization of 97241

Prime factors of 97241 are 97241. Prime factorization of 97241 in exponential form is:

97241 = 972411

Prime Factorization of 97246

Prime factors of 97246 are 2, 48623. Prime factorization of 97246 in exponential form is:

97246 = 21 × 486231

Now multiplying the highest exponent prime factors to calculate the LCM of 97241 and 97246.

LCM(97241,97246) = 972411 × 21 × 486231
LCM(97241,97246) = 9456298286