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What is the Least Common Multiple of 60364 and 60369?

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 60364 and 60369 is 3644114316.

LCM(60364,60369) = 3644114316

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Least Common Multiple of 60364 and 60369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60364 and 60369, than apply into the LCM equation.

GCF(60364,60369) = 1
LCM(60364,60369) = ( 60364 × 60369) / 1
LCM(60364,60369) = 3644114316 / 1
LCM(60364,60369) = 3644114316

Least Common Multiple (LCM) of 60364 and 60369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60364 and 60369. First we will calculate the prime factors of 60364 and 60369.

Prime Factorization of 60364

Prime factors of 60364 are 2, 15091. Prime factorization of 60364 in exponential form is:

60364 = 22 × 150911

Prime Factorization of 60369

Prime factors of 60369 are 3, 20123. Prime factorization of 60369 in exponential form is:

60369 = 31 × 201231

Now multiplying the highest exponent prime factors to calculate the LCM of 60364 and 60369.

LCM(60364,60369) = 22 × 150911 × 31 × 201231
LCM(60364,60369) = 3644114316