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What is the Least Common Multiple of 97054 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 97054 and 97062 is 4710127674.

LCM(97054,97062) = 4710127674

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Least Common Multiple of 97054 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 97054 and 97062, than apply into the LCM equation.

GCF(97054,97062) = 2
LCM(97054,97062) = ( 97054 × 97062) / 2
LCM(97054,97062) = 9420255348 / 2
LCM(97054,97062) = 4710127674

Least Common Multiple (LCM) of 97054 and 97062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97054 and 97062. First we will calculate the prime factors of 97054 and 97062.

Prime Factorization of 97054

Prime factors of 97054 are 2, 48527. Prime factorization of 97054 in exponential form is:

97054 = 21 × 485271

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 97054 and 97062.

LCM(97054,97062) = 21 × 485271 × 31 × 71 × 23111
LCM(97054,97062) = 4710127674