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What is the Least Common Multiple of 7934 and 7941?

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 7934 and 7941 is 63003894.

LCM(7934,7941) = 63003894

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Least Common Multiple of 7934 and 7941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7934 and 7941, than apply into the LCM equation.

GCF(7934,7941) = 1
LCM(7934,7941) = ( 7934 × 7941) / 1
LCM(7934,7941) = 63003894 / 1
LCM(7934,7941) = 63003894

Least Common Multiple (LCM) of 7934 and 7941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7934 and 7941. First we will calculate the prime factors of 7934 and 7941.

Prime Factorization of 7934

Prime factors of 7934 are 2, 3967. Prime factorization of 7934 in exponential form is:

7934 = 21 × 39671

Prime Factorization of 7941

Prime factors of 7941 are 3, 2647. Prime factorization of 7941 in exponential form is:

7941 = 31 × 26471

Now multiplying the highest exponent prime factors to calculate the LCM of 7934 and 7941.

LCM(7934,7941) = 21 × 39671 × 31 × 26471
LCM(7934,7941) = 63003894