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What is the Least Common Multiple of 94074 and 94091?

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 94074 and 94091 is 8851516734.

LCM(94074,94091) = 8851516734

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Least Common Multiple of 94074 and 94091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94074 and 94091, than apply into the LCM equation.

GCF(94074,94091) = 1
LCM(94074,94091) = ( 94074 × 94091) / 1
LCM(94074,94091) = 8851516734 / 1
LCM(94074,94091) = 8851516734

Least Common Multiple (LCM) of 94074 and 94091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94074 and 94091. First we will calculate the prime factors of 94074 and 94091.

Prime Factorization of 94074

Prime factors of 94074 are 2, 3, 15679. Prime factorization of 94074 in exponential form is:

94074 = 21 × 31 × 156791

Prime Factorization of 94091

Prime factors of 94091 are 37, 2543. Prime factorization of 94091 in exponential form is:

94091 = 371 × 25431

Now multiplying the highest exponent prime factors to calculate the LCM of 94074 and 94091.

LCM(94074,94091) = 21 × 31 × 156791 × 371 × 25431
LCM(94074,94091) = 8851516734