What is the Least Common Multiple of 44228 and 44237?
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 44228 and 44237 is 1956514036.
LCM(44228,44237) = 1956514036
Least Common Multiple of 44228 and 44237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44228 and 44237, than apply into the LCM equation.
GCF(44228,44237) = 1
LCM(44228,44237) = ( 44228 × 44237) / 1
LCM(44228,44237) = 1956514036 / 1
LCM(44228,44237) = 1956514036
Least Common Multiple (LCM) of 44228 and 44237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44228 and 44237. First we will calculate the prime factors of 44228 and 44237.
Prime Factorization of 44228
Prime factors of 44228 are 2, 11057. Prime factorization of 44228 in exponential form is:
44228 = 22 × 110571
Prime Factorization of 44237
Prime factors of 44237 are 31, 1427. Prime factorization of 44237 in exponential form is:
44237 = 311 × 14271
Now multiplying the highest exponent prime factors to calculate the LCM of 44228 and 44237.
LCM(44228,44237) = 22 × 110571 × 311 × 14271
LCM(44228,44237) = 1956514036
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