What is the Least Common Multiple of 225 and 237?
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 225 and 237 is 17775.
LCM(225,237) = 17775
Least Common Multiple of 225 and 237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 225 and 237, than apply into the LCM equation.
GCF(225,237) = 3
LCM(225,237) = ( 225 × 237) / 3
LCM(225,237) = 53325 / 3
LCM(225,237) = 17775
Least Common Multiple (LCM) of 225 and 237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 225 and 237. First we will calculate the prime factors of 225 and 237.
Prime Factorization of 225
Prime factors of 225 are 3, 5. Prime factorization of 225 in exponential form is:
225 = 32 × 52
Prime Factorization of 237
Prime factors of 237 are 3, 79. Prime factorization of 237 in exponential form is:
237 = 31 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 225 and 237.
LCM(225,237) = 32 × 52 × 791
LCM(225,237) = 17775
Related Least Common Multiples of 225
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Related Least Common Multiples of 237
- LCM of 237 and 241
- LCM of 237 and 242
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- LCM of 237 and 244
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