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What is the Least Common Multiple of 7934 and 7952?

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 7952 is 31545584.

LCM(7934,7952) = 31545584

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Least Common Multiple of 7934 and 7952 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 7952, than apply into the LCM equation.

GCF(7934,7952) = 2
LCM(7934,7952) = ( 7934 × 7952) / 2
LCM(7934,7952) = 63091168 / 2
LCM(7934,7952) = 31545584

Least Common Multiple (LCM) of 7934 and 7952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7934 and 7952. First we will calculate the prime factors of 7934 and 7952.

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 7952

Prime factors of 7952 are 2, 7, 71. Prime factorization of 7952 in exponential form is:

7952 = 24 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 7934 and 7952.

LCM(7934,7952) = 24 × 39671 × 71 × 711
LCM(7934,7952) = 31545584