What is the Least Common Multiple of 36600 and 36604?
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 36600 and 36604 is 334926600.
LCM(36600,36604) = 334926600
Least Common Multiple of 36600 and 36604 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36600 and 36604, than apply into the LCM equation.
GCF(36600,36604) = 4
LCM(36600,36604) = ( 36600 × 36604) / 4
LCM(36600,36604) = 1339706400 / 4
LCM(36600,36604) = 334926600
Least Common Multiple (LCM) of 36600 and 36604 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36600 and 36604. First we will calculate the prime factors of 36600 and 36604.
Prime Factorization of 36600
Prime factors of 36600 are 2, 3, 5, 61. Prime factorization of 36600 in exponential form is:
36600 = 23 × 31 × 52 × 611
Prime Factorization of 36604
Prime factors of 36604 are 2, 9151. Prime factorization of 36604 in exponential form is:
36604 = 22 × 91511
Now multiplying the highest exponent prime factors to calculate the LCM of 36600 and 36604.
LCM(36600,36604) = 23 × 31 × 52 × 611 × 91511
LCM(36600,36604) = 334926600
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