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What is the Least Common Multiple of 97029 and 97034?

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 97029 and 97034 is 9415111986.

LCM(97029,97034) = 9415111986

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Least Common Multiple of 97029 and 97034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97029 and 97034, than apply into the LCM equation.

GCF(97029,97034) = 1
LCM(97029,97034) = ( 97029 × 97034) / 1
LCM(97029,97034) = 9415111986 / 1
LCM(97029,97034) = 9415111986

Least Common Multiple (LCM) of 97029 and 97034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97029 and 97034. First we will calculate the prime factors of 97029 and 97034.

Prime Factorization of 97029

Prime factors of 97029 are 3, 10781. Prime factorization of 97029 in exponential form is:

97029 = 32 × 107811

Prime Factorization of 97034

Prime factors of 97034 are 2, 7, 29, 239. Prime factorization of 97034 in exponential form is:

97034 = 21 × 71 × 291 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 97029 and 97034.

LCM(97029,97034) = 32 × 107811 × 21 × 71 × 291 × 2391
LCM(97029,97034) = 9415111986