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What is the Least Common Multiple of 97466 and 97471?

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 97466 and 97471 is 9500108486.

LCM(97466,97471) = 9500108486

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Least Common Multiple of 97466 and 97471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97466 and 97471, than apply into the LCM equation.

GCF(97466,97471) = 1
LCM(97466,97471) = ( 97466 × 97471) / 1
LCM(97466,97471) = 9500108486 / 1
LCM(97466,97471) = 9500108486

Least Common Multiple (LCM) of 97466 and 97471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97466 and 97471. First we will calculate the prime factors of 97466 and 97471.

Prime Factorization of 97466

Prime factors of 97466 are 2, 48733. Prime factorization of 97466 in exponential form is:

97466 = 21 × 487331

Prime Factorization of 97471

Prime factors of 97471 are 11, 8861. Prime factorization of 97471 in exponential form is:

97471 = 111 × 88611

Now multiplying the highest exponent prime factors to calculate the LCM of 97466 and 97471.

LCM(97466,97471) = 21 × 487331 × 111 × 88611
LCM(97466,97471) = 9500108486