What is the Least Common Multiple of 2027 and 2039?
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 2027 and 2039 is 4133053.
LCM(2027,2039) = 4133053
Least Common Multiple of 2027 and 2039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2027 and 2039, than apply into the LCM equation.
GCF(2027,2039) = 1
LCM(2027,2039) = ( 2027 × 2039) / 1
LCM(2027,2039) = 4133053 / 1
LCM(2027,2039) = 4133053
Least Common Multiple (LCM) of 2027 and 2039 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2027 and 2039. First we will calculate the prime factors of 2027 and 2039.
Prime Factorization of 2027
Prime factors of 2027 are 2027. Prime factorization of 2027 in exponential form is:
2027 = 20271
Prime Factorization of 2039
Prime factors of 2039 are 2039. Prime factorization of 2039 in exponential form is:
2039 = 20391
Now multiplying the highest exponent prime factors to calculate the LCM of 2027 and 2039.
LCM(2027,2039) = 20271 × 20391
LCM(2027,2039) = 4133053
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