What is the Least Common Multiple of 90573 and 90590?
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 90573 and 90590 is 8205008070.
LCM(90573,90590) = 8205008070
Least Common Multiple of 90573 and 90590 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90573 and 90590, than apply into the LCM equation.
GCF(90573,90590) = 1
LCM(90573,90590) = ( 90573 × 90590) / 1
LCM(90573,90590) = 8205008070 / 1
LCM(90573,90590) = 8205008070
Least Common Multiple (LCM) of 90573 and 90590 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90573 and 90590. First we will calculate the prime factors of 90573 and 90590.
Prime Factorization of 90573
Prime factors of 90573 are 3, 7, 19, 227. Prime factorization of 90573 in exponential form is:
90573 = 31 × 71 × 191 × 2271
Prime Factorization of 90590
Prime factors of 90590 are 2, 5, 9059. Prime factorization of 90590 in exponential form is:
90590 = 21 × 51 × 90591
Now multiplying the highest exponent prime factors to calculate the LCM of 90573 and 90590.
LCM(90573,90590) = 31 × 71 × 191 × 2271 × 21 × 51 × 90591
LCM(90573,90590) = 8205008070
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