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What is the Least Common Multiple of 94094 and 94101?

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 94094 and 94101 is 1264905642.

LCM(94094,94101) = 1264905642

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Least Common Multiple of 94094 and 94101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94094 and 94101, than apply into the LCM equation.

GCF(94094,94101) = 7
LCM(94094,94101) = ( 94094 × 94101) / 7
LCM(94094,94101) = 8854339494 / 7
LCM(94094,94101) = 1264905642

Least Common Multiple (LCM) of 94094 and 94101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94094 and 94101. First we will calculate the prime factors of 94094 and 94101.

Prime Factorization of 94094

Prime factors of 94094 are 2, 7, 11, 13, 47. Prime factorization of 94094 in exponential form is:

94094 = 21 × 71 × 111 × 131 × 471

Prime Factorization of 94101

Prime factors of 94101 are 3, 7, 4481. Prime factorization of 94101 in exponential form is:

94101 = 31 × 71 × 44811

Now multiplying the highest exponent prime factors to calculate the LCM of 94094 and 94101.

LCM(94094,94101) = 21 × 71 × 111 × 131 × 471 × 31 × 44811
LCM(94094,94101) = 1264905642