What is the Least Common Multiple of 226 and 244?
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 226 and 244 is 27572.
LCM(226,244) = 27572
Least Common Multiple of 226 and 244 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 226 and 244, than apply into the LCM equation.
GCF(226,244) = 2
LCM(226,244) = ( 226 × 244) / 2
LCM(226,244) = 55144 / 2
LCM(226,244) = 27572
Least Common Multiple (LCM) of 226 and 244 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 226 and 244. First we will calculate the prime factors of 226 and 244.
Prime Factorization of 226
Prime factors of 226 are 2, 113. Prime factorization of 226 in exponential form is:
226 = 21 × 1131
Prime Factorization of 244
Prime factors of 244 are 2, 61. Prime factorization of 244 in exponential form is:
244 = 22 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 226 and 244.
LCM(226,244) = 22 × 1131 × 611
LCM(226,244) = 27572
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Related Least Common Multiples of 244
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