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What is the Least Common Multiple of 94185 and 94198?

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 94185 and 94198 is 682464510.

LCM(94185,94198) = 682464510

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Least Common Multiple of 94185 and 94198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94185 and 94198, than apply into the LCM equation.

GCF(94185,94198) = 13
LCM(94185,94198) = ( 94185 × 94198) / 13
LCM(94185,94198) = 8872038630 / 13
LCM(94185,94198) = 682464510

Least Common Multiple (LCM) of 94185 and 94198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94185 and 94198. First we will calculate the prime factors of 94185 and 94198.

Prime Factorization of 94185

Prime factors of 94185 are 3, 5, 7, 13, 23. Prime factorization of 94185 in exponential form is:

94185 = 32 × 51 × 71 × 131 × 231

Prime Factorization of 94198

Prime factors of 94198 are 2, 13, 3623. Prime factorization of 94198 in exponential form is:

94198 = 21 × 131 × 36231

Now multiplying the highest exponent prime factors to calculate the LCM of 94185 and 94198.

LCM(94185,94198) = 32 × 51 × 71 × 131 × 231 × 21 × 36231
LCM(94185,94198) = 682464510