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What is the Least Common Multiple of 4362 and 4369?

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 4362 and 4369 is 19057578.

LCM(4362,4369) = 19057578

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Least Common Multiple of 4362 and 4369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4362 and 4369, than apply into the LCM equation.

GCF(4362,4369) = 1
LCM(4362,4369) = ( 4362 × 4369) / 1
LCM(4362,4369) = 19057578 / 1
LCM(4362,4369) = 19057578

Least Common Multiple (LCM) of 4362 and 4369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4362 and 4369. First we will calculate the prime factors of 4362 and 4369.

Prime Factorization of 4362

Prime factors of 4362 are 2, 3, 727. Prime factorization of 4362 in exponential form is:

4362 = 21 × 31 × 7271

Prime Factorization of 4369

Prime factors of 4369 are 17, 257. Prime factorization of 4369 in exponential form is:

4369 = 171 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 4362 and 4369.

LCM(4362,4369) = 21 × 31 × 7271 × 171 × 2571
LCM(4362,4369) = 19057578