What is the Least Common Multiple of 35800 and 35815?
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 35800 and 35815 is 256435400.
LCM(35800,35815) = 256435400
Least Common Multiple of 35800 and 35815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35800 and 35815, than apply into the LCM equation.
GCF(35800,35815) = 5
LCM(35800,35815) = ( 35800 × 35815) / 5
LCM(35800,35815) = 1282177000 / 5
LCM(35800,35815) = 256435400
Least Common Multiple (LCM) of 35800 and 35815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35800 and 35815. First we will calculate the prime factors of 35800 and 35815.
Prime Factorization of 35800
Prime factors of 35800 are 2, 5, 179. Prime factorization of 35800 in exponential form is:
35800 = 23 × 52 × 1791
Prime Factorization of 35815
Prime factors of 35815 are 5, 13, 19, 29. Prime factorization of 35815 in exponential form is:
35815 = 51 × 131 × 191 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 35800 and 35815.
LCM(35800,35815) = 23 × 52 × 1791 × 131 × 191 × 291
LCM(35800,35815) = 256435400
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