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What is the Least Common Multiple of 3782 and 3802?

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 3782 and 3802 is 7189582.

LCM(3782,3802) = 7189582

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Least Common Multiple of 3782 and 3802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3782 and 3802, than apply into the LCM equation.

GCF(3782,3802) = 2
LCM(3782,3802) = ( 3782 × 3802) / 2
LCM(3782,3802) = 14379164 / 2
LCM(3782,3802) = 7189582

Least Common Multiple (LCM) of 3782 and 3802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3782 and 3802. First we will calculate the prime factors of 3782 and 3802.

Prime Factorization of 3782

Prime factors of 3782 are 2, 31, 61. Prime factorization of 3782 in exponential form is:

3782 = 21 × 311 × 611

Prime Factorization of 3802

Prime factors of 3802 are 2, 1901. Prime factorization of 3802 in exponential form is:

3802 = 21 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 3782 and 3802.

LCM(3782,3802) = 21 × 311 × 611 × 19011
LCM(3782,3802) = 7189582