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What is the Least Common Multiple of 97043 and 97062?

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 97043 and 97062 is 9419187666.

LCM(97043,97062) = 9419187666

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Least Common Multiple of 97043 and 97062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97043 and 97062, than apply into the LCM equation.

GCF(97043,97062) = 1
LCM(97043,97062) = ( 97043 × 97062) / 1
LCM(97043,97062) = 9419187666 / 1
LCM(97043,97062) = 9419187666

Least Common Multiple (LCM) of 97043 and 97062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97043 and 97062. First we will calculate the prime factors of 97043 and 97062.

Prime Factorization of 97043

Prime factors of 97043 are 53, 1831. Prime factorization of 97043 in exponential form is:

97043 = 531 × 18311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 97043 and 97062.

LCM(97043,97062) = 531 × 18311 × 21 × 31 × 71 × 23111
LCM(97043,97062) = 9419187666