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Least Common Multiple of 2391 and 2401

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 2391 and 2401 is 5740791.

LCM(2391,2401) = 5740791

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Least Common Multiple of 2391 and 2401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2391 and 2401, than apply into the LCM equation.

GCF(2391,2401) = 1
LCM(2391,2401) = ( 2391 × 2401) / 1
LCM(2391,2401) = 5740791 / 1
LCM(2391,2401) = 5740791

Least Common Multiple (LCM) of 2391 and 2401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2391 and 2401. First we will calculate the prime factors of 2391 and 2401.

Prime Factorization of 2391

Prime factors of 2391 are 3, 797. Prime factorization of 2391 in exponential form is:

2391 = 31 × 7971

Prime Factorization of 2401

Prime factors of 2401 are 7. Prime factorization of 2401 in exponential form is:

2401 = 74

Now multiplying the highest exponent prime factors to calculate the LCM of 2391 and 2401.

LCM(2391,2401) = 31 × 7971 × 74
LCM(2391,2401) = 5740791

Recent Comments
tushita 2020-08-20 21:33:08

thanks for helping with this i really liked it and was also helpful for my exam

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