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What is the Least Common Multiple of 97655 and 97670?

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 97655 and 97670 is 1907592770.

LCM(97655,97670) = 1907592770

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Least Common Multiple of 97655 and 97670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97655 and 97670, than apply into the LCM equation.

GCF(97655,97670) = 5
LCM(97655,97670) = ( 97655 × 97670) / 5
LCM(97655,97670) = 9537963850 / 5
LCM(97655,97670) = 1907592770

Least Common Multiple (LCM) of 97655 and 97670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97655 and 97670. First we will calculate the prime factors of 97655 and 97670.

Prime Factorization of 97655

Prime factors of 97655 are 5, 19531. Prime factorization of 97655 in exponential form is:

97655 = 51 × 195311

Prime Factorization of 97670

Prime factors of 97670 are 2, 5, 9767. Prime factorization of 97670 in exponential form is:

97670 = 21 × 51 × 97671

Now multiplying the highest exponent prime factors to calculate the LCM of 97655 and 97670.

LCM(97655,97670) = 51 × 195311 × 21 × 97671
LCM(97655,97670) = 1907592770