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What is the Least Common Multiple of 90178 and 90184?

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 90178 and 90184 is 4066306376.

LCM(90178,90184) = 4066306376

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Least Common Multiple of 90178 and 90184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90178 and 90184, than apply into the LCM equation.

GCF(90178,90184) = 2
LCM(90178,90184) = ( 90178 × 90184) / 2
LCM(90178,90184) = 8132612752 / 2
LCM(90178,90184) = 4066306376

Least Common Multiple (LCM) of 90178 and 90184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90178 and 90184. First we will calculate the prime factors of 90178 and 90184.

Prime Factorization of 90178

Prime factors of 90178 are 2, 11, 4099. Prime factorization of 90178 in exponential form is:

90178 = 21 × 111 × 40991

Prime Factorization of 90184

Prime factors of 90184 are 2, 11273. Prime factorization of 90184 in exponential form is:

90184 = 23 × 112731

Now multiplying the highest exponent prime factors to calculate the LCM of 90178 and 90184.

LCM(90178,90184) = 23 × 111 × 40991 × 112731
LCM(90178,90184) = 4066306376