What is the Least Common Multiple of 1324 and 1337?
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 1324 and 1337 is 1770188.
LCM(1324,1337) = 1770188
Least Common Multiple of 1324 and 1337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1324 and 1337, than apply into the LCM equation.
GCF(1324,1337) = 1
LCM(1324,1337) = ( 1324 × 1337) / 1
LCM(1324,1337) = 1770188 / 1
LCM(1324,1337) = 1770188
Least Common Multiple (LCM) of 1324 and 1337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1324 and 1337. First we will calculate the prime factors of 1324 and 1337.
Prime Factorization of 1324
Prime factors of 1324 are 2, 331. Prime factorization of 1324 in exponential form is:
1324 = 22 × 3311
Prime Factorization of 1337
Prime factors of 1337 are 7, 191. Prime factorization of 1337 in exponential form is:
1337 = 71 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 1324 and 1337.
LCM(1324,1337) = 22 × 3311 × 71 × 1911
LCM(1324,1337) = 1770188
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