What is the Least Common Multiple of 3237 and 3241?
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 3237 and 3241 is 10491117.
LCM(3237,3241) = 10491117
Least Common Multiple of 3237 and 3241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3237 and 3241, than apply into the LCM equation.
GCF(3237,3241) = 1
LCM(3237,3241) = ( 3237 × 3241) / 1
LCM(3237,3241) = 10491117 / 1
LCM(3237,3241) = 10491117
Least Common Multiple (LCM) of 3237 and 3241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3237 and 3241. First we will calculate the prime factors of 3237 and 3241.
Prime Factorization of 3237
Prime factors of 3237 are 3, 13, 83. Prime factorization of 3237 in exponential form is:
3237 = 31 × 131 × 831
Prime Factorization of 3241
Prime factors of 3241 are 7, 463. Prime factorization of 3241 in exponential form is:
3241 = 71 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 3237 and 3241.
LCM(3237,3241) = 31 × 131 × 831 × 71 × 4631
LCM(3237,3241) = 10491117
Related Least Common Multiples of 3237
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