What is the Least Common Multiple of 90947 and 90963?
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 90947 and 90963 is 8272811961.
LCM(90947,90963) = 8272811961
Least Common Multiple of 90947 and 90963 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90947 and 90963, than apply into the LCM equation.
GCF(90947,90963) = 1
LCM(90947,90963) = ( 90947 × 90963) / 1
LCM(90947,90963) = 8272811961 / 1
LCM(90947,90963) = 8272811961
Least Common Multiple (LCM) of 90947 and 90963 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90947 and 90963. First we will calculate the prime factors of 90947 and 90963.
Prime Factorization of 90947
Prime factors of 90947 are 90947. Prime factorization of 90947 in exponential form is:
90947 = 909471
Prime Factorization of 90963
Prime factors of 90963 are 3, 1123. Prime factorization of 90963 in exponential form is:
90963 = 34 × 11231
Now multiplying the highest exponent prime factors to calculate the LCM of 90947 and 90963.
LCM(90947,90963) = 909471 × 34 × 11231
LCM(90947,90963) = 8272811961
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