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What is the Least Common Multiple of 97466 and 97479?

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 97479 is 9500888214.

LCM(97466,97479) = 9500888214

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Least Common Multiple of 97466 and 97479 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 97479, than apply into the LCM equation.

GCF(97466,97479) = 1
LCM(97466,97479) = ( 97466 × 97479) / 1
LCM(97466,97479) = 9500888214 / 1
LCM(97466,97479) = 9500888214

Least Common Multiple (LCM) of 97466 and 97479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97466 and 97479. First we will calculate the prime factors of 97466 and 97479.

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 97479

Prime factors of 97479 are 3, 10831. Prime factorization of 97479 in exponential form is:

97479 = 32 × 108311

Now multiplying the highest exponent prime factors to calculate the LCM of 97466 and 97479.

LCM(97466,97479) = 21 × 487331 × 32 × 108311
LCM(97466,97479) = 9500888214