What is the Least Common Multiple of 347 and 365?
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 347 and 365 is 126655.
LCM(347,365) = 126655
Least Common Multiple of 347 and 365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 347 and 365, than apply into the LCM equation.
GCF(347,365) = 1
LCM(347,365) = ( 347 × 365) / 1
LCM(347,365) = 126655 / 1
LCM(347,365) = 126655
Least Common Multiple (LCM) of 347 and 365 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 347 and 365. First we will calculate the prime factors of 347 and 365.
Prime Factorization of 347
Prime factors of 347 are 347. Prime factorization of 347 in exponential form is:
347 = 3471
Prime Factorization of 365
Prime factors of 365 are 5, 73. Prime factorization of 365 in exponential form is:
365 = 51 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 347 and 365.
LCM(347,365) = 3471 × 51 × 731
LCM(347,365) = 126655
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