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What is the Least Common Multiple of 90154 and 90163?

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 90154 and 90163 is 8128555102.

LCM(90154,90163) = 8128555102

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Least Common Multiple of 90154 and 90163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90154 and 90163, than apply into the LCM equation.

GCF(90154,90163) = 1
LCM(90154,90163) = ( 90154 × 90163) / 1
LCM(90154,90163) = 8128555102 / 1
LCM(90154,90163) = 8128555102

Least Common Multiple (LCM) of 90154 and 90163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90154 and 90163. First we will calculate the prime factors of 90154 and 90163.

Prime Factorization of 90154

Prime factors of 90154 are 2, 45077. Prime factorization of 90154 in exponential form is:

90154 = 21 × 450771

Prime Factorization of 90163

Prime factors of 90163 are 90163. Prime factorization of 90163 in exponential form is:

90163 = 901631

Now multiplying the highest exponent prime factors to calculate the LCM of 90154 and 90163.

LCM(90154,90163) = 21 × 450771 × 901631
LCM(90154,90163) = 8128555102