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What is the Least Common Multiple of 97063 and 97078?

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 97063 and 97078 is 9422681914.

LCM(97063,97078) = 9422681914

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Least Common Multiple of 97063 and 97078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97063 and 97078, than apply into the LCM equation.

GCF(97063,97078) = 1
LCM(97063,97078) = ( 97063 × 97078) / 1
LCM(97063,97078) = 9422681914 / 1
LCM(97063,97078) = 9422681914

Least Common Multiple (LCM) of 97063 and 97078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97063 and 97078. First we will calculate the prime factors of 97063 and 97078.

Prime Factorization of 97063

Prime factors of 97063 are 29, 3347. Prime factorization of 97063 in exponential form is:

97063 = 291 × 33471

Prime Factorization of 97078

Prime factors of 97078 are 2, 48539. Prime factorization of 97078 in exponential form is:

97078 = 21 × 485391

Now multiplying the highest exponent prime factors to calculate the LCM of 97063 and 97078.

LCM(97063,97078) = 291 × 33471 × 21 × 485391
LCM(97063,97078) = 9422681914