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What is the Least Common Multiple of 7958 and 7963?

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 7958 and 7963 is 63369554.

LCM(7958,7963) = 63369554

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Least Common Multiple of 7958 and 7963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7958 and 7963, than apply into the LCM equation.

GCF(7958,7963) = 1
LCM(7958,7963) = ( 7958 × 7963) / 1
LCM(7958,7963) = 63369554 / 1
LCM(7958,7963) = 63369554

Least Common Multiple (LCM) of 7958 and 7963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7958 and 7963. First we will calculate the prime factors of 7958 and 7963.

Prime Factorization of 7958

Prime factors of 7958 are 2, 23, 173. Prime factorization of 7958 in exponential form is:

7958 = 21 × 231 × 1731

Prime Factorization of 7963

Prime factors of 7963 are 7963. Prime factorization of 7963 in exponential form is:

7963 = 79631

Now multiplying the highest exponent prime factors to calculate the LCM of 7958 and 7963.

LCM(7958,7963) = 21 × 231 × 1731 × 79631
LCM(7958,7963) = 63369554