What is the Least Common Multiple of 90523 and 90532?
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 90523 and 90532 is 8195228236.
LCM(90523,90532) = 8195228236
Least Common Multiple of 90523 and 90532 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90523 and 90532, than apply into the LCM equation.
GCF(90523,90532) = 1
LCM(90523,90532) = ( 90523 × 90532) / 1
LCM(90523,90532) = 8195228236 / 1
LCM(90523,90532) = 8195228236
Least Common Multiple (LCM) of 90523 and 90532 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90523 and 90532. First we will calculate the prime factors of 90523 and 90532.
Prime Factorization of 90523
Prime factors of 90523 are 90523. Prime factorization of 90523 in exponential form is:
90523 = 905231
Prime Factorization of 90532
Prime factors of 90532 are 2, 13, 1741. Prime factorization of 90532 in exponential form is:
90532 = 22 × 131 × 17411
Now multiplying the highest exponent prime factors to calculate the LCM of 90523 and 90532.
LCM(90523,90532) = 905231 × 22 × 131 × 17411
LCM(90523,90532) = 8195228236
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