What is the Least Common Multiple of 36547 and 36555?
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 36547 and 36555 is 1335975585.
LCM(36547,36555) = 1335975585
Least Common Multiple of 36547 and 36555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36547 and 36555, than apply into the LCM equation.
GCF(36547,36555) = 1
LCM(36547,36555) = ( 36547 × 36555) / 1
LCM(36547,36555) = 1335975585 / 1
LCM(36547,36555) = 1335975585
Least Common Multiple (LCM) of 36547 and 36555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36547 and 36555. First we will calculate the prime factors of 36547 and 36555.
Prime Factorization of 36547
Prime factors of 36547 are 7, 23, 227. Prime factorization of 36547 in exponential form is:
36547 = 71 × 231 × 2271
Prime Factorization of 36555
Prime factors of 36555 are 3, 5, 2437. Prime factorization of 36555 in exponential form is:
36555 = 31 × 51 × 24371
Now multiplying the highest exponent prime factors to calculate the LCM of 36547 and 36555.
LCM(36547,36555) = 71 × 231 × 2271 × 31 × 51 × 24371
LCM(36547,36555) = 1335975585
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