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What is the Least Common Multiple of 97630 and 97649?

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 97630 and 97649 is 9533471870.

LCM(97630,97649) = 9533471870

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Least Common Multiple of 97630 and 97649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97630 and 97649, than apply into the LCM equation.

GCF(97630,97649) = 1
LCM(97630,97649) = ( 97630 × 97649) / 1
LCM(97630,97649) = 9533471870 / 1
LCM(97630,97649) = 9533471870

Least Common Multiple (LCM) of 97630 and 97649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97630 and 97649. First we will calculate the prime factors of 97630 and 97649.

Prime Factorization of 97630

Prime factors of 97630 are 2, 5, 13, 751. Prime factorization of 97630 in exponential form is:

97630 = 21 × 51 × 131 × 7511

Prime Factorization of 97649

Prime factors of 97649 are 97649. Prime factorization of 97649 in exponential form is:

97649 = 976491

Now multiplying the highest exponent prime factors to calculate the LCM of 97630 and 97649.

LCM(97630,97649) = 21 × 51 × 131 × 7511 × 976491
LCM(97630,97649) = 9533471870