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What is the Least Common Multiple of 97969 and 97985?

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 97969 and 97985 is 9599492465.

LCM(97969,97985) = 9599492465

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Least Common Multiple of 97969 and 97985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97969 and 97985, than apply into the LCM equation.

GCF(97969,97985) = 1
LCM(97969,97985) = ( 97969 × 97985) / 1
LCM(97969,97985) = 9599492465 / 1
LCM(97969,97985) = 9599492465

Least Common Multiple (LCM) of 97969 and 97985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97969 and 97985. First we will calculate the prime factors of 97969 and 97985.

Prime Factorization of 97969

Prime factors of 97969 are 313. Prime factorization of 97969 in exponential form is:

97969 = 3132

Prime Factorization of 97985

Prime factors of 97985 are 5, 19597. Prime factorization of 97985 in exponential form is:

97985 = 51 × 195971

Now multiplying the highest exponent prime factors to calculate the LCM of 97969 and 97985.

LCM(97969,97985) = 3132 × 51 × 195971
LCM(97969,97985) = 9599492465