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What is the Least Common Multiple of 97655 and 97666?

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 97666 is 9537573230.

LCM(97655,97666) = 9537573230

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Least Common Multiple of 97655 and 97666 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 97666, than apply into the LCM equation.

GCF(97655,97666) = 1
LCM(97655,97666) = ( 97655 × 97666) / 1
LCM(97655,97666) = 9537573230 / 1
LCM(97655,97666) = 9537573230

Least Common Multiple (LCM) of 97655 and 97666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97655 and 97666. First we will calculate the prime factors of 97655 and 97666.

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 97666

Prime factors of 97666 are 2, 47, 1039. Prime factorization of 97666 in exponential form is:

97666 = 21 × 471 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 97655 and 97666.

LCM(97655,97666) = 51 × 195311 × 21 × 471 × 10391
LCM(97655,97666) = 9537573230