What is the Least Common Multiple of 45225 and 45234?
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 45225 and 45234 is 227300850.
LCM(45225,45234) = 227300850
Least Common Multiple of 45225 and 45234 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45225 and 45234, than apply into the LCM equation.
GCF(45225,45234) = 9
LCM(45225,45234) = ( 45225 × 45234) / 9
LCM(45225,45234) = 2045707650 / 9
LCM(45225,45234) = 227300850
Least Common Multiple (LCM) of 45225 and 45234 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45225 and 45234. First we will calculate the prime factors of 45225 and 45234.
Prime Factorization of 45225
Prime factors of 45225 are 3, 5, 67. Prime factorization of 45225 in exponential form is:
45225 = 33 × 52 × 671
Prime Factorization of 45234
Prime factors of 45234 are 2, 3, 7, 359. Prime factorization of 45234 in exponential form is:
45234 = 21 × 32 × 71 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 45225 and 45234.
LCM(45225,45234) = 33 × 52 × 671 × 21 × 71 × 3591
LCM(45225,45234) = 227300850
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