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What is the Least Common Multiple of 3602 and 3614?

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 3602 and 3614 is 6508814.

LCM(3602,3614) = 6508814

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Least Common Multiple of 3602 and 3614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3602 and 3614, than apply into the LCM equation.

GCF(3602,3614) = 2
LCM(3602,3614) = ( 3602 × 3614) / 2
LCM(3602,3614) = 13017628 / 2
LCM(3602,3614) = 6508814

Least Common Multiple (LCM) of 3602 and 3614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3602 and 3614. First we will calculate the prime factors of 3602 and 3614.

Prime Factorization of 3602

Prime factors of 3602 are 2, 1801. Prime factorization of 3602 in exponential form is:

3602 = 21 × 18011

Prime Factorization of 3614

Prime factors of 3614 are 2, 13, 139. Prime factorization of 3614 in exponential form is:

3614 = 21 × 131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3602 and 3614.

LCM(3602,3614) = 21 × 18011 × 131 × 1391
LCM(3602,3614) = 6508814