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What is the Least Common Multiple of 7947 and 7962?

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 7947 and 7962 is 21091338.

LCM(7947,7962) = 21091338

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Least Common Multiple of 7947 and 7962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7947 and 7962, than apply into the LCM equation.

GCF(7947,7962) = 3
LCM(7947,7962) = ( 7947 × 7962) / 3
LCM(7947,7962) = 63274014 / 3
LCM(7947,7962) = 21091338

Least Common Multiple (LCM) of 7947 and 7962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7947 and 7962. First we will calculate the prime factors of 7947 and 7962.

Prime Factorization of 7947

Prime factors of 7947 are 3, 883. Prime factorization of 7947 in exponential form is:

7947 = 32 × 8831

Prime Factorization of 7962

Prime factors of 7962 are 2, 3, 1327. Prime factorization of 7962 in exponential form is:

7962 = 21 × 31 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 7947 and 7962.

LCM(7947,7962) = 32 × 8831 × 21 × 13271
LCM(7947,7962) = 21091338