What is the Least Common Multiple of 9409 and 9427?
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 9409 and 9427 is 88698643.
LCM(9409,9427) = 88698643
Least Common Multiple of 9409 and 9427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9409 and 9427, than apply into the LCM equation.
GCF(9409,9427) = 1
LCM(9409,9427) = ( 9409 × 9427) / 1
LCM(9409,9427) = 88698643 / 1
LCM(9409,9427) = 88698643
Least Common Multiple (LCM) of 9409 and 9427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9409 and 9427. First we will calculate the prime factors of 9409 and 9427.
Prime Factorization of 9409
Prime factors of 9409 are 97. Prime factorization of 9409 in exponential form is:
9409 = 972
Prime Factorization of 9427
Prime factors of 9427 are 11, 857. Prime factorization of 9427 in exponential form is:
9427 = 111 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 9409 and 9427.
LCM(9409,9427) = 972 × 111 × 8571
LCM(9409,9427) = 88698643
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