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What is the Least Common Multiple of 90233 and 90242?

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 90233 and 90242 is 8142806386.

LCM(90233,90242) = 8142806386

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Least Common Multiple of 90233 and 90242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90233 and 90242, than apply into the LCM equation.

GCF(90233,90242) = 1
LCM(90233,90242) = ( 90233 × 90242) / 1
LCM(90233,90242) = 8142806386 / 1
LCM(90233,90242) = 8142806386

Least Common Multiple (LCM) of 90233 and 90242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90233 and 90242. First we will calculate the prime factors of 90233 and 90242.

Prime Factorization of 90233

Prime factors of 90233 are 11, 13, 631. Prime factorization of 90233 in exponential form is:

90233 = 111 × 131 × 6311

Prime Factorization of 90242

Prime factors of 90242 are 2, 45121. Prime factorization of 90242 in exponential form is:

90242 = 21 × 451211

Now multiplying the highest exponent prime factors to calculate the LCM of 90233 and 90242.

LCM(90233,90242) = 111 × 131 × 6311 × 21 × 451211
LCM(90233,90242) = 8142806386