What is the Least Common Multiple of 229 and 247?
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 229 and 247 is 56563.
LCM(229,247) = 56563
Least Common Multiple of 229 and 247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 229 and 247, than apply into the LCM equation.
GCF(229,247) = 1
LCM(229,247) = ( 229 × 247) / 1
LCM(229,247) = 56563 / 1
LCM(229,247) = 56563
Least Common Multiple (LCM) of 229 and 247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 229 and 247. First we will calculate the prime factors of 229 and 247.
Prime Factorization of 229
Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:
229 = 2291
Prime Factorization of 247
Prime factors of 247 are 13, 19. Prime factorization of 247 in exponential form is:
247 = 131 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 229 and 247.
LCM(229,247) = 2291 × 131 × 191
LCM(229,247) = 56563
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Related Least Common Multiples of 247
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