What is the Least Common Multiple of 36838 and 36851?
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 36838 and 36851 is 1357517138.
LCM(36838,36851) = 1357517138
Least Common Multiple of 36838 and 36851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36838 and 36851, than apply into the LCM equation.
GCF(36838,36851) = 1
LCM(36838,36851) = ( 36838 × 36851) / 1
LCM(36838,36851) = 1357517138 / 1
LCM(36838,36851) = 1357517138
Least Common Multiple (LCM) of 36838 and 36851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36838 and 36851. First we will calculate the prime factors of 36838 and 36851.
Prime Factorization of 36838
Prime factors of 36838 are 2, 113, 163. Prime factorization of 36838 in exponential form is:
36838 = 21 × 1131 × 1631
Prime Factorization of 36851
Prime factors of 36851 are 43, 857. Prime factorization of 36851 in exponential form is:
36851 = 431 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 36838 and 36851.
LCM(36838,36851) = 21 × 1131 × 1631 × 431 × 8571
LCM(36838,36851) = 1357517138
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