What is the Least Common Multiple of 7327 and 7331?
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 7327 and 7331 is 53714237.
LCM(7327,7331) = 53714237
Least Common Multiple of 7327 and 7331 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7327 and 7331, than apply into the LCM equation.
GCF(7327,7331) = 1
LCM(7327,7331) = ( 7327 × 7331) / 1
LCM(7327,7331) = 53714237 / 1
LCM(7327,7331) = 53714237
Least Common Multiple (LCM) of 7327 and 7331 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7327 and 7331. First we will calculate the prime factors of 7327 and 7331.
Prime Factorization of 7327
Prime factors of 7327 are 17, 431. Prime factorization of 7327 in exponential form is:
7327 = 171 × 4311
Prime Factorization of 7331
Prime factors of 7331 are 7331. Prime factorization of 7331 in exponential form is:
7331 = 73311
Now multiplying the highest exponent prime factors to calculate the LCM of 7327 and 7331.
LCM(7327,7331) = 171 × 4311 × 73311
LCM(7327,7331) = 53714237
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