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What is the Least Common Multiple of 3802 and 3815?

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 3802 and 3815 is 14504630.

LCM(3802,3815) = 14504630

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Least Common Multiple of 3802 and 3815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3802 and 3815, than apply into the LCM equation.

GCF(3802,3815) = 1
LCM(3802,3815) = ( 3802 × 3815) / 1
LCM(3802,3815) = 14504630 / 1
LCM(3802,3815) = 14504630

Least Common Multiple (LCM) of 3802 and 3815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3802 and 3815. First we will calculate the prime factors of 3802 and 3815.

Prime Factorization of 3802

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

3802 = 21 × 19011

Prime Factorization of 3815

Prime factors of 3815 are 5, 7, 109. Prime factorization of 3815 in exponential form is:

3815 = 51 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3802 and 3815.

LCM(3802,3815) = 21 × 19011 × 51 × 71 × 1091
LCM(3802,3815) = 14504630