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What is the Least Common Multiple of 97902 and 97907?

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 97902 and 97907 is 9585291114.

LCM(97902,97907) = 9585291114

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Least Common Multiple of 97902 and 97907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97902 and 97907, than apply into the LCM equation.

GCF(97902,97907) = 1
LCM(97902,97907) = ( 97902 × 97907) / 1
LCM(97902,97907) = 9585291114 / 1
LCM(97902,97907) = 9585291114

Least Common Multiple (LCM) of 97902 and 97907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97902 and 97907. First we will calculate the prime factors of 97902 and 97907.

Prime Factorization of 97902

Prime factors of 97902 are 2, 3, 7, 37. Prime factorization of 97902 in exponential form is:

97902 = 21 × 33 × 72 × 371

Prime Factorization of 97907

Prime factors of 97907 are 19, 5153. Prime factorization of 97907 in exponential form is:

97907 = 191 × 51531

Now multiplying the highest exponent prime factors to calculate the LCM of 97902 and 97907.

LCM(97902,97907) = 21 × 33 × 72 × 371 × 191 × 51531
LCM(97902,97907) = 9585291114