What is the Least Common Multiple of 9215 and 9235?
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 9215 and 9235 is 17020105.
LCM(9215,9235) = 17020105
Least Common Multiple of 9215 and 9235 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9215 and 9235, than apply into the LCM equation.
GCF(9215,9235) = 5
LCM(9215,9235) = ( 9215 × 9235) / 5
LCM(9215,9235) = 85100525 / 5
LCM(9215,9235) = 17020105
Least Common Multiple (LCM) of 9215 and 9235 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9215 and 9235. First we will calculate the prime factors of 9215 and 9235.
Prime Factorization of 9215
Prime factors of 9215 are 5, 19, 97. Prime factorization of 9215 in exponential form is:
9215 = 51 × 191 × 971
Prime Factorization of 9235
Prime factors of 9235 are 5, 1847. Prime factorization of 9235 in exponential form is:
9235 = 51 × 18471
Now multiplying the highest exponent prime factors to calculate the LCM of 9215 and 9235.
LCM(9215,9235) = 51 × 191 × 971 × 18471
LCM(9215,9235) = 17020105
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