What is the Least Common Multiple of 9276 and 9290?
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 9276 and 9290 is 43087020.
LCM(9276,9290) = 43087020
Least Common Multiple of 9276 and 9290 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9276 and 9290, than apply into the LCM equation.
GCF(9276,9290) = 2
LCM(9276,9290) = ( 9276 × 9290) / 2
LCM(9276,9290) = 86174040 / 2
LCM(9276,9290) = 43087020
Least Common Multiple (LCM) of 9276 and 9290 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9276 and 9290. First we will calculate the prime factors of 9276 and 9290.
Prime Factorization of 9276
Prime factors of 9276 are 2, 3, 773. Prime factorization of 9276 in exponential form is:
9276 = 22 × 31 × 7731
Prime Factorization of 9290
Prime factors of 9290 are 2, 5, 929. Prime factorization of 9290 in exponential form is:
9290 = 21 × 51 × 9291
Now multiplying the highest exponent prime factors to calculate the LCM of 9276 and 9290.
LCM(9276,9290) = 22 × 31 × 7731 × 51 × 9291
LCM(9276,9290) = 43087020
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