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What is the Least Common Multiple of 3938 and 3953?

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 3938 and 3953 is 15566914.

LCM(3938,3953) = 15566914

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Least Common Multiple of 3938 and 3953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3938 and 3953, than apply into the LCM equation.

GCF(3938,3953) = 1
LCM(3938,3953) = ( 3938 × 3953) / 1
LCM(3938,3953) = 15566914 / 1
LCM(3938,3953) = 15566914

Least Common Multiple (LCM) of 3938 and 3953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3938 and 3953. First we will calculate the prime factors of 3938 and 3953.

Prime Factorization of 3938

Prime factors of 3938 are 2, 11, 179. Prime factorization of 3938 in exponential form is:

3938 = 21 × 111 × 1791

Prime Factorization of 3953

Prime factors of 3953 are 59, 67. Prime factorization of 3953 in exponential form is:

3953 = 591 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 3938 and 3953.

LCM(3938,3953) = 21 × 111 × 1791 × 591 × 671
LCM(3938,3953) = 15566914