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What is the Least Common Multiple of 94290 and 94298?

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 94290 and 94298 is 4445679210.

LCM(94290,94298) = 4445679210

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Least Common Multiple of 94290 and 94298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94290 and 94298, than apply into the LCM equation.

GCF(94290,94298) = 2
LCM(94290,94298) = ( 94290 × 94298) / 2
LCM(94290,94298) = 8891358420 / 2
LCM(94290,94298) = 4445679210

Least Common Multiple (LCM) of 94290 and 94298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94290 and 94298. First we will calculate the prime factors of 94290 and 94298.

Prime Factorization of 94290

Prime factors of 94290 are 2, 3, 5, 7, 449. Prime factorization of 94290 in exponential form is:

94290 = 21 × 31 × 51 × 71 × 4491

Prime Factorization of 94298

Prime factors of 94298 are 2, 47149. Prime factorization of 94298 in exponential form is:

94298 = 21 × 471491

Now multiplying the highest exponent prime factors to calculate the LCM of 94290 and 94298.

LCM(94290,94298) = 21 × 31 × 51 × 71 × 4491 × 471491
LCM(94290,94298) = 4445679210