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What is the Least Common Multiple of 90866 and 90884?

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 90866 and 90884 is 4129132772.

LCM(90866,90884) = 4129132772

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Least Common Multiple of 90866 and 90884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90866 and 90884, than apply into the LCM equation.

GCF(90866,90884) = 2
LCM(90866,90884) = ( 90866 × 90884) / 2
LCM(90866,90884) = 8258265544 / 2
LCM(90866,90884) = 4129132772

Least Common Multiple (LCM) of 90866 and 90884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90866 and 90884. First we will calculate the prime factors of 90866 and 90884.

Prime Factorization of 90866

Prime factors of 90866 are 2, 45433. Prime factorization of 90866 in exponential form is:

90866 = 21 × 454331

Prime Factorization of 90884

Prime factors of 90884 are 2, 22721. Prime factorization of 90884 in exponential form is:

90884 = 22 × 227211

Now multiplying the highest exponent prime factors to calculate the LCM of 90866 and 90884.

LCM(90866,90884) = 22 × 454331 × 227211
LCM(90866,90884) = 4129132772