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What is the Least Common Multiple of 7898 and 7911?

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 7898 and 7911 is 62481078.

LCM(7898,7911) = 62481078

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Least Common Multiple of 7898 and 7911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7898 and 7911, than apply into the LCM equation.

GCF(7898,7911) = 1
LCM(7898,7911) = ( 7898 × 7911) / 1
LCM(7898,7911) = 62481078 / 1
LCM(7898,7911) = 62481078

Least Common Multiple (LCM) of 7898 and 7911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7898 and 7911. First we will calculate the prime factors of 7898 and 7911.

Prime Factorization of 7898

Prime factors of 7898 are 2, 11, 359. Prime factorization of 7898 in exponential form is:

7898 = 21 × 111 × 3591

Prime Factorization of 7911

Prime factors of 7911 are 3, 293. Prime factorization of 7911 in exponential form is:

7911 = 33 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 7898 and 7911.

LCM(7898,7911) = 21 × 111 × 3591 × 33 × 2931
LCM(7898,7911) = 62481078