What is the Least Common Multiple of 3267 and 3272?
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 3267 and 3272 is 10689624.
LCM(3267,3272) = 10689624
Least Common Multiple of 3267 and 3272 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3267 and 3272, than apply into the LCM equation.
GCF(3267,3272) = 1
LCM(3267,3272) = ( 3267 × 3272) / 1
LCM(3267,3272) = 10689624 / 1
LCM(3267,3272) = 10689624
Least Common Multiple (LCM) of 3267 and 3272 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3267 and 3272. First we will calculate the prime factors of 3267 and 3272.
Prime Factorization of 3267
Prime factors of 3267 are 3, 11. Prime factorization of 3267 in exponential form is:
3267 = 33 × 112
Prime Factorization of 3272
Prime factors of 3272 are 2, 409. Prime factorization of 3272 in exponential form is:
3272 = 23 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 3267 and 3272.
LCM(3267,3272) = 33 × 112 × 23 × 4091
LCM(3267,3272) = 10689624
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