What is the Least Common Multiple of 90789 and 90809?
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 90789 and 90809 is 8244458301.
LCM(90789,90809) = 8244458301
Least Common Multiple of 90789 and 90809 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90789 and 90809, than apply into the LCM equation.
GCF(90789,90809) = 1
LCM(90789,90809) = ( 90789 × 90809) / 1
LCM(90789,90809) = 8244458301 / 1
LCM(90789,90809) = 8244458301
Least Common Multiple (LCM) of 90789 and 90809 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90789 and 90809. First we will calculate the prime factors of 90789 and 90809.
Prime Factorization of 90789
Prime factors of 90789 are 3, 53, 571. Prime factorization of 90789 in exponential form is:
90789 = 31 × 531 × 5711
Prime Factorization of 90809
Prime factors of 90809 are 71, 1279. Prime factorization of 90809 in exponential form is:
90809 = 711 × 12791
Now multiplying the highest exponent prime factors to calculate the LCM of 90789 and 90809.
LCM(90789,90809) = 31 × 531 × 5711 × 711 × 12791
LCM(90789,90809) = 8244458301
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