What is the Least Common Multiple of 227 and 246?
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 227 and 246 is 55842.
LCM(227,246) = 55842
Least Common Multiple of 227 and 246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 227 and 246, than apply into the LCM equation.
GCF(227,246) = 1
LCM(227,246) = ( 227 × 246) / 1
LCM(227,246) = 55842 / 1
LCM(227,246) = 55842
Least Common Multiple (LCM) of 227 and 246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 227 and 246. First we will calculate the prime factors of 227 and 246.
Prime Factorization of 227
Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:
227 = 2271
Prime Factorization of 246
Prime factors of 246 are 2, 3, 41. Prime factorization of 246 in exponential form is:
246 = 21 × 31 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 227 and 246.
LCM(227,246) = 2271 × 21 × 31 × 411
LCM(227,246) = 55842
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