What is the Least Common Multiple of 224 and 234?
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 224 and 234 is 26208.
LCM(224,234) = 26208
Least Common Multiple of 224 and 234 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 224 and 234, than apply into the LCM equation.
GCF(224,234) = 2
LCM(224,234) = ( 224 × 234) / 2
LCM(224,234) = 52416 / 2
LCM(224,234) = 26208
Least Common Multiple (LCM) of 224 and 234 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 224 and 234. First we will calculate the prime factors of 224 and 234.
Prime Factorization of 224
Prime factors of 224 are 2, 7. Prime factorization of 224 in exponential form is:
224 = 25 × 71
Prime Factorization of 234
Prime factors of 234 are 2, 3, 13. Prime factorization of 234 in exponential form is:
234 = 21 × 32 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 224 and 234.
LCM(224,234) = 25 × 71 × 32 × 131
LCM(224,234) = 26208
Related Least Common Multiples of 224
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Related Least Common Multiples of 234
- LCM of 234 and 238
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