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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

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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