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What is the Least Common Multiple of 97471 and 97482?

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 97471 and 97482 is 863788002.

LCM(97471,97482) = 863788002

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Least Common Multiple of 97471 and 97482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97471 and 97482, than apply into the LCM equation.

GCF(97471,97482) = 11
LCM(97471,97482) = ( 97471 × 97482) / 11
LCM(97471,97482) = 9501668022 / 11
LCM(97471,97482) = 863788002

Least Common Multiple (LCM) of 97471 and 97482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97471 and 97482. First we will calculate the prime factors of 97471 and 97482.

Prime Factorization of 97471

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

97471 = 111 × 88611

Prime Factorization of 97482

Prime factors of 97482 are 2, 3, 7, 11, 211. Prime factorization of 97482 in exponential form is:

97482 = 21 × 31 × 71 × 111 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 97471 and 97482.

LCM(97471,97482) = 111 × 88611 × 21 × 31 × 71 × 2111
LCM(97471,97482) = 863788002