What is the Least Common Multiple of 11738 and 11749?
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 11738 and 11749 is 137909762.
LCM(11738,11749) = 137909762
Least Common Multiple of 11738 and 11749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11738 and 11749, than apply into the LCM equation.
GCF(11738,11749) = 1
LCM(11738,11749) = ( 11738 × 11749) / 1
LCM(11738,11749) = 137909762 / 1
LCM(11738,11749) = 137909762
Least Common Multiple (LCM) of 11738 and 11749 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11738 and 11749. First we will calculate the prime factors of 11738 and 11749.
Prime Factorization of 11738
Prime factors of 11738 are 2, 5869. Prime factorization of 11738 in exponential form is:
11738 = 21 × 58691
Prime Factorization of 11749
Prime factors of 11749 are 31, 379. Prime factorization of 11749 in exponential form is:
11749 = 311 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 11738 and 11749.
LCM(11738,11749) = 21 × 58691 × 311 × 3791
LCM(11738,11749) = 137909762
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