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What is the Least Common Multiple of 94145 and 94154?

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 94145 and 94154 is 8864128330.

LCM(94145,94154) = 8864128330

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Least Common Multiple of 94145 and 94154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94145 and 94154, than apply into the LCM equation.

GCF(94145,94154) = 1
LCM(94145,94154) = ( 94145 × 94154) / 1
LCM(94145,94154) = 8864128330 / 1
LCM(94145,94154) = 8864128330

Least Common Multiple (LCM) of 94145 and 94154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94145 and 94154. First we will calculate the prime factors of 94145 and 94154.

Prime Factorization of 94145

Prime factors of 94145 are 5, 19, 991. Prime factorization of 94145 in exponential form is:

94145 = 51 × 191 × 9911

Prime Factorization of 94154

Prime factors of 94154 are 2, 179, 263. Prime factorization of 94154 in exponential form is:

94154 = 21 × 1791 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 94145 and 94154.

LCM(94145,94154) = 51 × 191 × 9911 × 21 × 1791 × 2631
LCM(94145,94154) = 8864128330