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What is the Least Common Multiple of 94154 and 94160?

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 94154 and 94160 is 4432770320.

LCM(94154,94160) = 4432770320

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Least Common Multiple of 94154 and 94160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94154 and 94160, than apply into the LCM equation.

GCF(94154,94160) = 2
LCM(94154,94160) = ( 94154 × 94160) / 2
LCM(94154,94160) = 8865540640 / 2
LCM(94154,94160) = 4432770320

Least Common Multiple (LCM) of 94154 and 94160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94154 and 94160. First we will calculate the prime factors of 94154 and 94160.

Prime Factorization of 94154

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

94154 = 21 × 1791 × 2631

Prime Factorization of 94160

Prime factors of 94160 are 2, 5, 11, 107. Prime factorization of 94160 in exponential form is:

94160 = 24 × 51 × 111 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 94154 and 94160.

LCM(94154,94160) = 24 × 1791 × 2631 × 51 × 111 × 1071
LCM(94154,94160) = 4432770320