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What is the Least Common Multiple of 36469 and 36487?

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 36469 and 36487 is 1330644403.

LCM(36469,36487) = 1330644403

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Least Common Multiple of 36469 and 36487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36469 and 36487, than apply into the LCM equation.

GCF(36469,36487) = 1
LCM(36469,36487) = ( 36469 × 36487) / 1
LCM(36469,36487) = 1330644403 / 1
LCM(36469,36487) = 1330644403

Least Common Multiple (LCM) of 36469 and 36487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36469 and 36487. First we will calculate the prime factors of 36469 and 36487.

Prime Factorization of 36469

Prime factors of 36469 are 36469. Prime factorization of 36469 in exponential form is:

36469 = 364691

Prime Factorization of 36487

Prime factors of 36487 are 11, 31, 107. Prime factorization of 36487 in exponential form is:

36487 = 111 × 311 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 36469 and 36487.

LCM(36469,36487) = 364691 × 111 × 311 × 1071
LCM(36469,36487) = 1330644403