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What is the Least Common Multiple of 97062 and 97079?

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 97062 and 97079 is 9422681898.

LCM(97062,97079) = 9422681898

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Least Common Multiple of 97062 and 97079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97062 and 97079, than apply into the LCM equation.

GCF(97062,97079) = 1
LCM(97062,97079) = ( 97062 × 97079) / 1
LCM(97062,97079) = 9422681898 / 1
LCM(97062,97079) = 9422681898

Least Common Multiple (LCM) of 97062 and 97079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97062 and 97079. First we will calculate the prime factors of 97062 and 97079.

Prime Factorization of 97062

Prime factors of 97062 are 2, 3, 7, 2311. Prime factorization of 97062 in exponential form is:

97062 = 21 × 31 × 71 × 23111

Prime Factorization of 97079

Prime factors of 97079 are 193, 503. Prime factorization of 97079 in exponential form is:

97079 = 1931 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 97062 and 97079.

LCM(97062,97079) = 21 × 31 × 71 × 23111 × 1931 × 5031
LCM(97062,97079) = 9422681898