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What is the Least Common Multiple of 97466 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 97466 and 97482 is 4750590306.

LCM(97466,97482) = 4750590306

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Least Common Multiple of 97466 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 97466 and 97482, than apply into the LCM equation.

GCF(97466,97482) = 2
LCM(97466,97482) = ( 97466 × 97482) / 2
LCM(97466,97482) = 9501180612 / 2
LCM(97466,97482) = 4750590306

Least Common Multiple (LCM) of 97466 and 97482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97466 and 97482. First we will calculate the prime factors of 97466 and 97482.

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 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 97466 and 97482.

LCM(97466,97482) = 21 × 487331 × 31 × 71 × 111 × 2111
LCM(97466,97482) = 4750590306