What is the Least Common Multiple of 90353 and 90362?
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 90353 and 90362 is 8164477786.
LCM(90353,90362) = 8164477786
Least Common Multiple of 90353 and 90362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90353 and 90362, than apply into the LCM equation.
GCF(90353,90362) = 1
LCM(90353,90362) = ( 90353 × 90362) / 1
LCM(90353,90362) = 8164477786 / 1
LCM(90353,90362) = 8164477786
Least Common Multiple (LCM) of 90353 and 90362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90353 and 90362. First we will calculate the prime factors of 90353 and 90362.
Prime Factorization of 90353
Prime factors of 90353 are 90353. Prime factorization of 90353 in exponential form is:
90353 = 903531
Prime Factorization of 90362
Prime factors of 90362 are 2, 45181. Prime factorization of 90362 in exponential form is:
90362 = 21 × 451811
Now multiplying the highest exponent prime factors to calculate the LCM of 90353 and 90362.
LCM(90353,90362) = 903531 × 21 × 451811
LCM(90353,90362) = 8164477786
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