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What is the Least Common Multiple of 94630 and 94641?

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 94630 and 94641 is 8955877830.

LCM(94630,94641) = 8955877830

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Least Common Multiple of 94630 and 94641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94630 and 94641, than apply into the LCM equation.

GCF(94630,94641) = 1
LCM(94630,94641) = ( 94630 × 94641) / 1
LCM(94630,94641) = 8955877830 / 1
LCM(94630,94641) = 8955877830

Least Common Multiple (LCM) of 94630 and 94641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94630 and 94641. First we will calculate the prime factors of 94630 and 94641.

Prime Factorization of 94630

Prime factors of 94630 are 2, 5, 9463. Prime factorization of 94630 in exponential form is:

94630 = 21 × 51 × 94631

Prime Factorization of 94641

Prime factors of 94641 are 3, 31547. Prime factorization of 94641 in exponential form is:

94641 = 31 × 315471

Now multiplying the highest exponent prime factors to calculate the LCM of 94630 and 94641.

LCM(94630,94641) = 21 × 51 × 94631 × 31 × 315471
LCM(94630,94641) = 8955877830