What is the Least Common Multiple of 3287 and 3298?
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 3287 and 3298 is 10840526.
LCM(3287,3298) = 10840526
Least Common Multiple of 3287 and 3298 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3287 and 3298, than apply into the LCM equation.
GCF(3287,3298) = 1
LCM(3287,3298) = ( 3287 × 3298) / 1
LCM(3287,3298) = 10840526 / 1
LCM(3287,3298) = 10840526
Least Common Multiple (LCM) of 3287 and 3298 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3287 and 3298. First we will calculate the prime factors of 3287 and 3298.
Prime Factorization of 3287
Prime factors of 3287 are 19, 173. Prime factorization of 3287 in exponential form is:
3287 = 191 × 1731
Prime Factorization of 3298
Prime factors of 3298 are 2, 17, 97. Prime factorization of 3298 in exponential form is:
3298 = 21 × 171 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 3287 and 3298.
LCM(3287,3298) = 191 × 1731 × 21 × 171 × 971
LCM(3287,3298) = 10840526
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