What is the Least Common Multiple of 7377 and 7391?
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 7377 and 7391 is 54523407.
LCM(7377,7391) = 54523407
Least Common Multiple of 7377 and 7391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7377 and 7391, than apply into the LCM equation.
GCF(7377,7391) = 1
LCM(7377,7391) = ( 7377 × 7391) / 1
LCM(7377,7391) = 54523407 / 1
LCM(7377,7391) = 54523407
Least Common Multiple (LCM) of 7377 and 7391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7377 and 7391. First we will calculate the prime factors of 7377 and 7391.
Prime Factorization of 7377
Prime factors of 7377 are 3, 2459. Prime factorization of 7377 in exponential form is:
7377 = 31 × 24591
Prime Factorization of 7391
Prime factors of 7391 are 19, 389. Prime factorization of 7391 in exponential form is:
7391 = 191 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 7377 and 7391.
LCM(7377,7391) = 31 × 24591 × 191 × 3891
LCM(7377,7391) = 54523407
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