What is the Least Common Multiple of 36479 and 36493?
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 36479 and 36493 is 1331228147.
LCM(36479,36493) = 1331228147
Least Common Multiple of 36479 and 36493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36479 and 36493, than apply into the LCM equation.
GCF(36479,36493) = 1
LCM(36479,36493) = ( 36479 × 36493) / 1
LCM(36479,36493) = 1331228147 / 1
LCM(36479,36493) = 1331228147
Least Common Multiple (LCM) of 36479 and 36493 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36479 and 36493. First we will calculate the prime factors of 36479 and 36493.
Prime Factorization of 36479
Prime factors of 36479 are 36479. Prime factorization of 36479 in exponential form is:
36479 = 364791
Prime Factorization of 36493
Prime factors of 36493 are 36493. Prime factorization of 36493 in exponential form is:
36493 = 364931
Now multiplying the highest exponent prime factors to calculate the LCM of 36479 and 36493.
LCM(36479,36493) = 364791 × 364931
LCM(36479,36493) = 1331228147
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