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What is the Least Common Multiple of 7902 and 7916?

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 7902 and 7916 is 31276116.

LCM(7902,7916) = 31276116

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Least Common Multiple of 7902 and 7916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7902 and 7916, than apply into the LCM equation.

GCF(7902,7916) = 2
LCM(7902,7916) = ( 7902 × 7916) / 2
LCM(7902,7916) = 62552232 / 2
LCM(7902,7916) = 31276116

Least Common Multiple (LCM) of 7902 and 7916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7902 and 7916. First we will calculate the prime factors of 7902 and 7916.

Prime Factorization of 7902

Prime factors of 7902 are 2, 3, 439. Prime factorization of 7902 in exponential form is:

7902 = 21 × 32 × 4391

Prime Factorization of 7916

Prime factors of 7916 are 2, 1979. Prime factorization of 7916 in exponential form is:

7916 = 22 × 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 7902 and 7916.

LCM(7902,7916) = 22 × 32 × 4391 × 19791
LCM(7902,7916) = 31276116