What is the Least Common Multiple of 37055 and 37062?
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 37055 and 37062 is 1373332410.
LCM(37055,37062) = 1373332410
Least Common Multiple of 37055 and 37062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37055 and 37062, than apply into the LCM equation.
GCF(37055,37062) = 1
LCM(37055,37062) = ( 37055 × 37062) / 1
LCM(37055,37062) = 1373332410 / 1
LCM(37055,37062) = 1373332410
Least Common Multiple (LCM) of 37055 and 37062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37055 and 37062. First we will calculate the prime factors of 37055 and 37062.
Prime Factorization of 37055
Prime factors of 37055 are 5, 7411. Prime factorization of 37055 in exponential form is:
37055 = 51 × 74111
Prime Factorization of 37062
Prime factors of 37062 are 2, 3, 29, 71. Prime factorization of 37062 in exponential form is:
37062 = 21 × 32 × 291 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 37055 and 37062.
LCM(37055,37062) = 51 × 74111 × 21 × 32 × 291 × 711
LCM(37055,37062) = 1373332410
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