What is the Least Common Multiple of 665 and 672?
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 665 and 672 is 63840.
LCM(665,672) = 63840
Least Common Multiple of 665 and 672 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 665 and 672, than apply into the LCM equation.
GCF(665,672) = 7
LCM(665,672) = ( 665 × 672) / 7
LCM(665,672) = 446880 / 7
LCM(665,672) = 63840
Least Common Multiple (LCM) of 665 and 672 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 665 and 672. First we will calculate the prime factors of 665 and 672.
Prime Factorization of 665
Prime factors of 665 are 5, 7, 19. Prime factorization of 665 in exponential form is:
665 = 51 × 71 × 191
Prime Factorization of 672
Prime factors of 672 are 2, 3, 7. Prime factorization of 672 in exponential form is:
672 = 25 × 31 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 665 and 672.
LCM(665,672) = 51 × 71 × 191 × 25 × 31
LCM(665,672) = 63840
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