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What is the Least Common Multiple of 97207 and 97212?

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 97207 and 97212 is 9449686884.

LCM(97207,97212) = 9449686884

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Least Common Multiple of 97207 and 97212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97207 and 97212, than apply into the LCM equation.

GCF(97207,97212) = 1
LCM(97207,97212) = ( 97207 × 97212) / 1
LCM(97207,97212) = 9449686884 / 1
LCM(97207,97212) = 9449686884

Least Common Multiple (LCM) of 97207 and 97212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97207 and 97212. First we will calculate the prime factors of 97207 and 97212.

Prime Factorization of 97207

Prime factors of 97207 are 11, 8837. Prime factorization of 97207 in exponential form is:

97207 = 111 × 88371

Prime Factorization of 97212

Prime factors of 97212 are 2, 3, 8101. Prime factorization of 97212 in exponential form is:

97212 = 22 × 31 × 81011

Now multiplying the highest exponent prime factors to calculate the LCM of 97207 and 97212.

LCM(97207,97212) = 111 × 88371 × 22 × 31 × 81011
LCM(97207,97212) = 9449686884