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What is the Least Common Multiple of 97207 and 97211?

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 97211 is 9449589677.

LCM(97207,97211) = 9449589677

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Least Common Multiple of 97207 and 97211 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 97211, than apply into the LCM equation.

GCF(97207,97211) = 1
LCM(97207,97211) = ( 97207 × 97211) / 1
LCM(97207,97211) = 9449589677 / 1
LCM(97207,97211) = 9449589677

Least Common Multiple (LCM) of 97207 and 97211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97207 and 97211. First we will calculate the prime factors of 97207 and 97211.

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 97211

Prime factors of 97211 are 41, 2371. Prime factorization of 97211 in exponential form is:

97211 = 411 × 23711

Now multiplying the highest exponent prime factors to calculate the LCM of 97207 and 97211.

LCM(97207,97211) = 111 × 88371 × 411 × 23711
LCM(97207,97211) = 9449589677