What is the Least Common Multiple of 37322 and 37327?
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 37322 and 37327 is 1393118294.
LCM(37322,37327) = 1393118294
Least Common Multiple of 37322 and 37327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37322 and 37327, than apply into the LCM equation.
GCF(37322,37327) = 1
LCM(37322,37327) = ( 37322 × 37327) / 1
LCM(37322,37327) = 1393118294 / 1
LCM(37322,37327) = 1393118294
Least Common Multiple (LCM) of 37322 and 37327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37322 and 37327. First we will calculate the prime factors of 37322 and 37327.
Prime Factorization of 37322
Prime factors of 37322 are 2, 18661. Prime factorization of 37322 in exponential form is:
37322 = 21 × 186611
Prime Factorization of 37327
Prime factors of 37327 are 163, 229. Prime factorization of 37327 in exponential form is:
37327 = 1631 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 37322 and 37327.
LCM(37322,37327) = 21 × 186611 × 1631 × 2291
LCM(37322,37327) = 1393118294
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